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Finding the Fourth Proportional to 453,394.78, 680,130.24 and 137,854.42

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Solution

The fourth proportional to 453,394.78, 680,130.24 and 137,854.42 is: 206,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,394.78 : 680,130.24 = 137,854.42 : x
  2. Step 2: Convert to fraction form
    453,394.78/680,130.24 = 137,854.42/x
  3. Step 3: Cross multiply
    453,394.78x = 680,130.24 × 137,854.42
  4. Step 4: Simplify right side
    453,394.78x = 93,758,955,669.74
  5. Step 5: Solve for x
    x = 93,758,955,669.74/453,394.78
  6. Step 6: Final answer
    x = 206,793.20

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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.