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Finding the Fourth Proportional to 171,818.30, 257,665.64 and 59,468

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Solution

The fourth proportional to 171,818.30, 257,665.64 and 59,468 is: 89,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,818.30 : 257,665.64 = 59,468 : x
  2. Step 2: Convert to fraction form
    171,818.30/257,665.64 = 59,468/x
  3. Step 3: Cross multiply
    171,818.30x = 257,665.64 × 59,468
  4. Step 4: Simplify right side
    171,818.30x = 15,322,860,279.52
  5. Step 5: Solve for x
    x = 15,322,860,279.52/171,818.30
  6. Step 6: Final answer
    x = 89,180.61

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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.