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Finding the Fourth Proportional to 171,581.18, 257,284.02 and 71,714.12

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Solution

The fourth proportional to 171,581.18, 257,284.02 and 71,714.12 is: 107,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,581.18 : 257,284.02 = 71,714.12 : x
  2. Step 2: Convert to fraction form
    171,581.18/257,284.02 = 71,714.12/x
  3. Step 3: Cross multiply
    171,581.18x = 257,284.02 × 71,714.12
  4. Step 4: Simplify right side
    171,581.18x = 18,450,897,084.36
  5. Step 5: Solve for x
    x = 18,450,897,084.36/171,581.18
  6. Step 6: Final answer
    x = 107,534.50

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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.