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Finding the Fourth Proportional to 110,502.30, 165,364.65 and 101,171.10

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Solution

The fourth proportional to 110,502.30, 165,364.65 and 101,171.10 is: 151,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502.30 : 165,364.65 = 101,171.10 : x
  2. Step 2: Convert to fraction form
    110,502.30/165,364.65 = 101,171.10/x
  3. Step 3: Cross multiply
    110,502.30x = 165,364.65 × 101,171.10
  4. Step 4: Simplify right side
    110,502.30x = 16,730,123,541.62
  5. Step 5: Solve for x
    x = 16,730,123,541.62/110,502.30
  6. Step 6: Final answer
    x = 151,400.68

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Why These Related Problems?

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