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Finding the Fourth Proportional to 275,406.59, 413,151.50 and 97,871.39

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Solution

The fourth proportional to 275,406.59, 413,151.50 and 97,871.39 is: 146,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,406.59 : 413,151.50 = 97,871.39 : x
  2. Step 2: Convert to fraction form
    275,406.59/413,151.50 = 97,871.39/x
  3. Step 3: Cross multiply
    275,406.59x = 413,151.50 × 97,871.39
  4. Step 4: Simplify right side
    275,406.59x = 40,435,712,129.11
  5. Step 5: Solve for x
    x = 40,435,712,129.11/275,406.59
  6. Step 6: Final answer
    x = 146,821.88

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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.