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Finding the Fourth Proportional to 102,104.13, 140,883.03 and 59,654.46

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Solution

The fourth proportional to 102,104.13, 140,883.03 and 59,654.46 is: 82,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.13 : 140,883.03 = 59,654.46 : x
  2. Step 2: Convert to fraction form
    102,104.13/140,883.03 = 59,654.46/x
  3. Step 3: Cross multiply
    102,104.13x = 140,883.03 × 59,654.46
  4. Step 4: Simplify right side
    102,104.13x = 8,404,301,077.81
  5. Step 5: Solve for x
    x = 8,404,301,077.81/102,104.13
  6. Step 6: Final answer
    x = 82,311.08

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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.