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Finding the Fourth Proportional to 178,965.59, 268,448.38 and 73,781.82

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Solution

The fourth proportional to 178,965.59, 268,448.38 and 73,781.82 is: 110,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,965.59 : 268,448.38 = 73,781.82 : x
  2. Step 2: Convert to fraction form
    178,965.59/268,448.38 = 73,781.82/x
  3. Step 3: Cross multiply
    178,965.59x = 268,448.38 × 73,781.82
  4. Step 4: Simplify right side
    178,965.59x = 19,806,609,868.00
  5. Step 5: Solve for x
    x = 19,806,609,868.00/178,965.59
  6. Step 6: Final answer
    x = 110,672.73

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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.