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Finding the Fourth Proportional to 242,110.20, 363,116.70 and 115,750.20

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Solution

The fourth proportional to 242,110.20, 363,116.70 and 115,750.20 is: 173,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,110.20 : 363,116.70 = 115,750.20 : x
  2. Step 2: Convert to fraction form
    242,110.20/363,116.70 = 115,750.20/x
  3. Step 3: Cross multiply
    242,110.20x = 363,116.70 × 115,750.20
  4. Step 4: Simplify right side
    242,110.20x = 42,030,830,648.34
  5. Step 5: Solve for x
    x = 42,030,830,648.34/242,110.20
  6. Step 6: Final answer
    x = 173,602.06

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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.