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Finding the Fourth Proportional to 102,308.60, 141,186.13 and 59,296.43

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Solution

The fourth proportional to 102,308.60, 141,186.13 and 59,296.43 is: 81,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,308.60 : 141,186.13 = 59,296.43 : x
  2. Step 2: Convert to fraction form
    102,308.60/141,186.13 = 59,296.43/x
  3. Step 3: Cross multiply
    102,308.60x = 141,186.13 × 59,296.43
  4. Step 4: Simplify right side
    102,308.60x = 8,371,832,620.34
  5. Step 5: Solve for x
    x = 8,371,832,620.34/102,308.60
  6. Step 6: Final answer
    x = 81,829.22

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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.