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Finding the Fourth Proportional to 145,854.41, 218,781.61 and 35,046.41

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Solution

The fourth proportional to 145,854.41, 218,781.61 and 35,046.41 is: 52,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854.41 : 218,781.61 = 35,046.41 : x
  2. Step 2: Convert to fraction form
    145,854.41/218,781.61 = 35,046.41/x
  3. Step 3: Cross multiply
    145,854.41x = 218,781.61 × 35,046.41
  4. Step 4: Simplify right side
    145,854.41x = 7,667,508,910.61
  5. Step 5: Solve for x
    x = 7,667,508,910.61/145,854.41
  6. Step 6: Final answer
    x = 52,569.61

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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.