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Finding the Fourth Proportional to 137,660.42, 206,578.02 and 58,775.24

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Solution

The fourth proportional to 137,660.42, 206,578.02 and 58,775.24 is: 88,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,660.42 : 206,578.02 = 58,775.24 : x
  2. Step 2: Convert to fraction form
    137,660.42/206,578.02 = 58,775.24/x
  3. Step 3: Cross multiply
    137,660.42x = 206,578.02 × 58,775.24
  4. Step 4: Simplify right side
    137,660.42x = 12,141,672,704.22
  5. Step 5: Solve for x
    x = 12,141,672,704.22/137,660.42
  6. Step 6: Final answer
    x = 88,200.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.