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Finding the Fourth Proportional to 178,577.62, 267,907.33 and 77,392.66

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Solution

The fourth proportional to 178,577.62, 267,907.33 and 77,392.66 is: 116,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,577.62 : 267,907.33 = 77,392.66 : x
  2. Step 2: Convert to fraction form
    178,577.62/267,907.33 = 77,392.66/x
  3. Step 3: Cross multiply
    178,577.62x = 267,907.33 × 77,392.66
  4. Step 4: Simplify right side
    178,577.62x = 20,734,061,327.55
  5. Step 5: Solve for x
    x = 20,734,061,327.55/178,577.62
  6. Step 6: Final answer
    x = 116,106.72

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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.