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Finding the Fourth Proportional to 102,666.39, 141,671.61 and 59,638.76

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Solution

The fourth proportional to 102,666.39, 141,671.61 and 59,638.76 is: 82,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.39 : 141,671.61 = 59,638.76 : x
  2. Step 2: Convert to fraction form
    102,666.39/141,671.61 = 59,638.76/x
  3. Step 3: Cross multiply
    102,666.39x = 141,671.61 × 59,638.76
  4. Step 4: Simplify right side
    102,666.39x = 8,449,119,147.60
  5. Step 5: Solve for x
    x = 8,449,119,147.60/102,666.39
  6. Step 6: Final answer
    x = 82,296.84

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