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Finding the Fourth Proportional to 137,354.40, 205,772.40 and 128,023.20

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Solution

The fourth proportional to 137,354.40, 205,772.40 and 128,023.20 is: 191,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,354.40 : 205,772.40 = 128,023.20 : x
  2. Step 2: Convert to fraction form
    137,354.40/205,772.40 = 128,023.20/x
  3. Step 3: Cross multiply
    137,354.40x = 205,772.40 × 128,023.20
  4. Step 4: Simplify right side
    137,354.40x = 26,343,641,119.68
  5. Step 5: Solve for x
    x = 26,343,641,119.68/137,354.40
  6. Step 6: Final answer
    x = 191,793.21

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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.