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Finding the Fourth Proportional to 178,277.40, 267,027.30 and 158,578.20

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Solution

The fourth proportional to 178,277.40, 267,027.30 and 158,578.20 is: 237,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,277.40 : 267,027.30 = 158,578.20 : x
  2. Step 2: Convert to fraction form
    178,277.40/267,027.30 = 158,578.20/x
  3. Step 3: Cross multiply
    178,277.40x = 267,027.30 × 158,578.20
  4. Step 4: Simplify right side
    178,277.40x = 42,344,708,584.86
  5. Step 5: Solve for x
    x = 42,344,708,584.86/178,277.40
  6. Step 6: Final answer
    x = 237,521.46

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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.