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Finding the Fourth Proportional to 178,304.32, 267,789.59 and 156,964.60

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Solution

The fourth proportional to 178,304.32, 267,789.59 and 156,964.60 is: 235,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,304.32 : 267,789.59 = 156,964.60 : x
  2. Step 2: Convert to fraction form
    178,304.32/267,789.59 = 156,964.60/x
  3. Step 3: Cross multiply
    178,304.32x = 267,789.59 × 156,964.60
  4. Step 4: Simplify right side
    178,304.32x = 42,033,483,754.74
  5. Step 5: Solve for x
    x = 42,033,483,754.74/178,304.32
  6. Step 6: Final answer
    x = 235,740.14

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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.