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Finding the Fourth Proportional to 453,394.90, 680,130.42 and 137,854.54

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Solution

The fourth proportional to 453,394.90, 680,130.42 and 137,854.54 is: 206,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,394.90 : 680,130.42 = 137,854.54 : x
  2. Step 2: Convert to fraction form
    453,394.90/680,130.42 = 137,854.54/x
  3. Step 3: Cross multiply
    453,394.90x = 680,130.42 × 137,854.54
  4. Step 4: Simplify right side
    453,394.90x = 93,759,066,189.11
  5. Step 5: Solve for x
    x = 93,759,066,189.11/453,394.90
  6. Step 6: Final answer
    x = 206,793.39

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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.