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Finding the Fourth Proportional to 102,607.68, 141,591.30 and 60,158

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Solution

The fourth proportional to 102,607.68, 141,591.30 and 60,158 is: 83,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607.68 : 141,591.30 = 60,158 : x
  2. Step 2: Convert to fraction form
    102,607.68/141,591.30 = 60,158/x
  3. Step 3: Cross multiply
    102,607.68x = 141,591.30 × 60,158
  4. Step 4: Simplify right side
    102,607.68x = 8,517,849,425.40
  5. Step 5: Solve for x
    x = 8,517,849,425.40/102,607.68
  6. Step 6: Final answer
    x = 83,013.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.