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Finding the Fourth Proportional to 178,393.59, 267,295.14 and 78,403.95

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Solution

The fourth proportional to 178,393.59, 267,295.14 and 78,403.95 is: 117,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,393.59 : 267,295.14 = 78,403.95 : x
  2. Step 2: Convert to fraction form
    178,393.59/267,295.14 = 78,403.95/x
  3. Step 3: Cross multiply
    178,393.59x = 267,295.14 × 78,403.95
  4. Step 4: Simplify right side
    178,393.59x = 20,956,994,791.80
  5. Step 5: Solve for x
    x = 20,956,994,791.80/178,393.59
  6. Step 6: Final answer
    x = 117,476.16

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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.