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Finding the Fourth Proportional to 178,219.48, 267,332.60 and 58,276.48

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Solution

The fourth proportional to 178,219.48, 267,332.60 and 58,276.48 is: 87,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,219.48 : 267,332.60 = 58,276.48 : x
  2. Step 2: Convert to fraction form
    178,219.48/267,332.60 = 58,276.48/x
  3. Step 3: Cross multiply
    178,219.48x = 267,332.60 × 58,276.48
  4. Step 4: Simplify right side
    178,219.48x = 15,579,202,917.25
  5. Step 5: Solve for x
    x = 15,579,202,917.25/178,219.48
  6. Step 6: Final answer
    x = 87,415.83

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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.