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Finding the Fourth Proportional to 242,208.30, 363,312.45 and 137,232.30

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Solution

The fourth proportional to 242,208.30, 363,312.45 and 137,232.30 is: 205,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,208.30 : 363,312.45 = 137,232.30 : x
  2. Step 2: Convert to fraction form
    242,208.30/363,312.45 = 137,232.30/x
  3. Step 3: Cross multiply
    242,208.30x = 363,312.45 × 137,232.30
  4. Step 4: Simplify right side
    242,208.30x = 49,858,203,132.14
  5. Step 5: Solve for x
    x = 49,858,203,132.14/242,208.30
  6. Step 6: Final answer
    x = 205,848.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.