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Finding the Fourth Proportional to 275,372.20, 413,068.47 and 75,708.19

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Solution

The fourth proportional to 275,372.20, 413,068.47 and 75,708.19 is: 113,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,372.20 : 413,068.47 = 75,708.19 : x
  2. Step 2: Convert to fraction form
    275,372.20/413,068.47 = 75,708.19/x
  3. Step 3: Cross multiply
    275,372.20x = 413,068.47 × 75,708.19
  4. Step 4: Simplify right side
    275,372.20x = 31,272,666,209.77
  5. Step 5: Solve for x
    x = 31,272,666,209.77/275,372.20
  6. Step 6: Final answer
    x = 113,565.08

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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.