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Finding the Fourth Proportional to 102,174.08, 140,998.01 and 59,155.38

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Solution

The fourth proportional to 102,174.08, 140,998.01 and 59,155.38 is: 81,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.08 : 140,998.01 = 59,155.38 : x
  2. Step 2: Convert to fraction form
    102,174.08/140,998.01 = 59,155.38/x
  3. Step 3: Cross multiply
    102,174.08x = 140,998.01 × 59,155.38
  4. Step 4: Simplify right side
    102,174.08x = 8,340,790,565.02
  5. Step 5: Solve for x
    x = 8,340,790,565.02/102,174.08
  6. Step 6: Final answer
    x = 81,633.14

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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.