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Finding the Fourth Proportional to 138,817.60, 208,226.40 and 59,876.80

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Solution

The fourth proportional to 138,817.60, 208,226.40 and 59,876.80 is: 89,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,817.60 : 208,226.40 = 59,876.80 : x
  2. Step 2: Convert to fraction form
    138,817.60/208,226.40 = 59,876.80/x
  3. Step 3: Cross multiply
    138,817.60x = 208,226.40 × 59,876.80
  4. Step 4: Simplify right side
    138,817.60x = 12,467,930,507.52
  5. Step 5: Solve for x
    x = 12,467,930,507.52/138,817.60
  6. Step 6: Final answer
    x = 89,815.20

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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.