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Finding the Fourth Proportional to 144,565.86, 199,360.90 and 112,723.14

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Solution

The fourth proportional to 144,565.86, 199,360.90 and 112,723.14 is: 155,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,565.86 : 199,360.90 = 112,723.14 : x
  2. Step 2: Convert to fraction form
    144,565.86/199,360.90 = 112,723.14/x
  3. Step 3: Cross multiply
    144,565.86x = 199,360.90 × 112,723.14
  4. Step 4: Simplify right side
    144,565.86x = 22,472,586,641.23
  5. Step 5: Solve for x
    x = 22,472,586,641.23/144,565.86
  6. Step 6: Final answer
    x = 155,448.78

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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.