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Finding the Fourth Proportional to 171,809.10, 257,651.91 and 59,458.83

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Solution

The fourth proportional to 171,809.10, 257,651.91 and 59,458.83 is: 89,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,809.10 : 257,651.91 = 59,458.83 : x
  2. Step 2: Convert to fraction form
    171,809.10/257,651.91 = 59,458.83/x
  3. Step 3: Cross multiply
    171,809.10x = 257,651.91 × 59,458.83
  4. Step 4: Simplify right side
    171,809.10x = 15,319,681,115.87
  5. Step 5: Solve for x
    x = 15,319,681,115.87/171,809.10
  6. Step 6: Final answer
    x = 89,166.88

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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.