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Finding the Fourth Proportional to 102,357.88, 141,241.14 and 59,337.16

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Solution

The fourth proportional to 102,357.88, 141,241.14 and 59,337.16 is: 81,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.88 : 141,241.14 = 59,337.16 : x
  2. Step 2: Convert to fraction form
    102,357.88/141,241.14 = 59,337.16/x
  3. Step 3: Cross multiply
    102,357.88x = 141,241.14 × 59,337.16
  4. Step 4: Simplify right side
    102,357.88x = 8,380,848,122.76
  5. Step 5: Solve for x
    x = 8,380,848,122.76/102,357.88
  6. Step 6: Final answer
    x = 81,877.90

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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.