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Finding the Fourth Proportional to 453,387.40, 680,106.70 and 137,854.60

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Solution

The fourth proportional to 453,387.40, 680,106.70 and 137,854.60 is: 206,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,387.40 : 680,106.70 = 137,854.60 : x
  2. Step 2: Convert to fraction form
    453,387.40/680,106.70 = 137,854.60/x
  3. Step 3: Cross multiply
    453,387.40x = 680,106.70 × 137,854.60
  4. Step 4: Simplify right side
    453,387.40x = 93,755,837,085.82
  5. Step 5: Solve for x
    x = 93,755,837,085.82/453,387.40
  6. Step 6: Final answer
    x = 206,789.68

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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.