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Finding the Fourth Proportional to 175,781.42, 263,687.70 and 49,422.76

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Solution

The fourth proportional to 175,781.42, 263,687.70 and 49,422.76 is: 74,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,781.42 : 263,687.70 = 49,422.76 : x
  2. Step 2: Convert to fraction form
    175,781.42/263,687.70 = 49,422.76/x
  3. Step 3: Cross multiply
    175,781.42x = 263,687.70 × 49,422.76
  4. Step 4: Simplify right side
    175,781.42x = 13,032,172,346.50
  5. Step 5: Solve for x
    x = 13,032,172,346.50/175,781.42
  6. Step 6: Final answer
    x = 74,138.51

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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.