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Finding the Fourth Proportional to 102,673.38, 141,688.90 and 59,659.14

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Solution

The fourth proportional to 102,673.38, 141,688.90 and 59,659.14 is: 82,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,673.38 : 141,688.90 = 59,659.14 : x
  2. Step 2: Convert to fraction form
    102,673.38/141,688.90 = 59,659.14/x
  3. Step 3: Cross multiply
    102,673.38x = 141,688.90 × 59,659.14
  4. Step 4: Simplify right side
    102,673.38x = 8,453,037,921.55
  5. Step 5: Solve for x
    x = 8,453,037,921.55/102,673.38
  6. Step 6: Final answer
    x = 82,329.40

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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.