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Finding the Fourth Proportional to 102,073.68, 140,815.80 and 59,607

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Solution

The fourth proportional to 102,073.68, 140,815.80 and 59,607 is: 82,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.68 : 140,815.80 = 59,607 : x
  2. Step 2: Convert to fraction form
    102,073.68/140,815.80 = 59,607/x
  3. Step 3: Cross multiply
    102,073.68x = 140,815.80 × 59,607
  4. Step 4: Simplify right side
    102,073.68x = 8,393,607,390.60
  5. Step 5: Solve for x
    x = 8,393,607,390.60/102,073.68
  6. Step 6: Final answer
    x = 82,230.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.