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Finding the Fourth Proportional to 178,825.40, 267,800.70 and 85,221.80

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Solution

The fourth proportional to 178,825.40, 267,800.70 and 85,221.80 is: 127,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,825.40 : 267,800.70 = 85,221.80 : x
  2. Step 2: Convert to fraction form
    178,825.40/267,800.70 = 85,221.80/x
  3. Step 3: Cross multiply
    178,825.40x = 267,800.70 × 85,221.80
  4. Step 4: Simplify right side
    178,825.40x = 22,822,457,695.26
  5. Step 5: Solve for x
    x = 22,822,457,695.26/178,825.40
  6. Step 6: Final answer
    x = 127,624.25

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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.