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Finding the Fourth Proportional to 114,813, 172,221.88 and 41,780.46

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Solution

The fourth proportional to 114,813, 172,221.88 and 41,780.46 is: 62,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,813 : 172,221.88 = 41,780.46 : x
  2. Step 2: Convert to fraction form
    114,813/172,221.88 = 41,780.46/x
  3. Step 3: Cross multiply
    114,813x = 172,221.88 × 41,780.46
  4. Step 4: Simplify right side
    114,813x = 7,195,508,298.45
  5. Step 5: Solve for x
    x = 7,195,508,298.45/114,813
  6. Step 6: Final answer
    x = 62,671.55

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