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Finding the Fourth Proportional to 102,292.92, 141,253.38 and 64,118.10

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Solution

The fourth proportional to 102,292.92, 141,253.38 and 64,118.10 is: 88,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,292.92 : 141,253.38 = 64,118.10 : x
  2. Step 2: Convert to fraction form
    102,292.92/141,253.38 = 64,118.10/x
  3. Step 3: Cross multiply
    102,292.92x = 141,253.38 × 64,118.10
  4. Step 4: Simplify right side
    102,292.92x = 9,056,898,344.18
  5. Step 5: Solve for x
    x = 9,056,898,344.18/102,292.92
  6. Step 6: Final answer
    x = 88,538.86

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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.