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Finding the Fourth Proportional to 232,273.17, 348,174.46 and 157,400.88

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Solution

The fourth proportional to 232,273.17, 348,174.46 and 157,400.88 is: 235,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,273.17 : 348,174.46 = 157,400.88 : x
  2. Step 2: Convert to fraction form
    232,273.17/348,174.46 = 157,400.88/x
  3. Step 3: Cross multiply
    232,273.17x = 348,174.46 × 157,400.88
  4. Step 4: Simplify right side
    232,273.17x = 54,802,966,397.52
  5. Step 5: Solve for x
    x = 54,802,966,397.52/232,273.17
  6. Step 6: Final answer
    x = 235,941.87

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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.