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Finding the Fourth Proportional to 178,766.32, 267,907.56 and 67,897.84

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Solution

The fourth proportional to 178,766.32, 267,907.56 and 67,897.84 is: 101,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,766.32 : 267,907.56 = 67,897.84 : x
  2. Step 2: Convert to fraction form
    178,766.32/267,907.56 = 67,897.84/x
  3. Step 3: Cross multiply
    178,766.32x = 267,907.56 × 67,897.84
  4. Step 4: Simplify right side
    178,766.32x = 18,190,344,643.67
  5. Step 5: Solve for x
    x = 18,190,344,643.67/178,766.32
  6. Step 6: Final answer
    x = 101,754.88

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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.