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Finding the Fourth Proportional to 155,456.40, 233,184.60 and 138,543.60

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Solution

The fourth proportional to 155,456.40, 233,184.60 and 138,543.60 is: 207,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,456.40 : 233,184.60 = 138,543.60 : x
  2. Step 2: Convert to fraction form
    155,456.40/233,184.60 = 138,543.60/x
  3. Step 3: Cross multiply
    155,456.40x = 233,184.60 × 138,543.60
  4. Step 4: Simplify right side
    155,456.40x = 32,306,233,948.56
  5. Step 5: Solve for x
    x = 32,306,233,948.56/155,456.40
  6. Step 6: Final answer
    x = 207,815.40

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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.