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Finding the Fourth Proportional to 137,232.20, 205,848.30 and 128,016.20

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Solution

The fourth proportional to 137,232.20, 205,848.30 and 128,016.20 is: 192,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232.20 : 205,848.30 = 128,016.20 : x
  2. Step 2: Convert to fraction form
    137,232.20/205,848.30 = 128,016.20/x
  3. Step 3: Cross multiply
    137,232.20x = 205,848.30 × 128,016.20
  4. Step 4: Simplify right side
    137,232.20x = 26,351,917,142.46
  5. Step 5: Solve for x
    x = 26,351,917,142.46/137,232.20
  6. Step 6: Final answer
    x = 192,024.30

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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.