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Finding the Fourth Proportional to 114,565.68, 171,781.56 and 43,493.04

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Solution

The fourth proportional to 114,565.68, 171,781.56 and 43,493.04 is: 65,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,565.68 : 171,781.56 = 43,493.04 : x
  2. Step 2: Convert to fraction form
    114,565.68/171,781.56 = 43,493.04/x
  3. Step 3: Cross multiply
    114,565.68x = 171,781.56 × 43,493.04
  4. Step 4: Simplify right side
    114,565.68x = 7,471,302,260.34
  5. Step 5: Solve for x
    x = 7,471,302,260.34/114,565.68
  6. Step 6: Final answer
    x = 65,214.14

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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.