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Finding the Fourth Proportional to 102,425.42, 141,378.32 and 59,415.78

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Solution

The fourth proportional to 102,425.42, 141,378.32 and 59,415.78 is: 82,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,425.42 : 141,378.32 = 59,415.78 : x
  2. Step 2: Convert to fraction form
    102,425.42/141,378.32 = 59,415.78/x
  3. Step 3: Cross multiply
    102,425.42x = 141,378.32 × 59,415.78
  4. Step 4: Simplify right side
    102,425.42x = 8,400,103,157.89
  5. Step 5: Solve for x
    x = 8,400,103,157.89/102,425.42
  6. Step 6: Final answer
    x = 82,011.90

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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.