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Finding the Fourth Proportional to 102,498.68, 141,442.08 and 59,474.84

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Solution

The fourth proportional to 102,498.68, 141,442.08 and 59,474.84 is: 82,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,498.68 : 141,442.08 = 59,474.84 : x
  2. Step 2: Convert to fraction form
    102,498.68/141,442.08 = 59,474.84/x
  3. Step 3: Cross multiply
    102,498.68x = 141,442.08 × 59,474.84
  4. Step 4: Simplify right side
    102,498.68x = 8,412,245,077.27
  5. Step 5: Solve for x
    x = 8,412,245,077.27/102,498.68
  6. Step 6: Final answer
    x = 82,071.74

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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.