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Finding the Fourth Proportional to 178,200.66, 267,340.89 and 59,868.78

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Solution

The fourth proportional to 178,200.66, 267,340.89 and 59,868.78 is: 89,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,200.66 : 267,340.89 = 59,868.78 : x
  2. Step 2: Convert to fraction form
    178,200.66/267,340.89 = 59,868.78/x
  3. Step 3: Cross multiply
    178,200.66x = 267,340.89 × 59,868.78
  4. Step 4: Simplify right side
    178,200.66x = 16,005,372,928.41
  5. Step 5: Solve for x
    x = 16,005,372,928.41/178,200.66
  6. Step 6: Final answer
    x = 89,816.57

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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.