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Finding the Fourth Proportional to 229,902.52, 317,411.24 and 157,426.68

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Solution

The fourth proportional to 229,902.52, 317,411.24 and 157,426.68 is: 217,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,902.52 : 317,411.24 = 157,426.68 : x
  2. Step 2: Convert to fraction form
    229,902.52/317,411.24 = 157,426.68/x
  3. Step 3: Cross multiply
    229,902.52x = 317,411.24 × 157,426.68
  4. Step 4: Simplify right side
    229,902.52x = 49,968,997,707.88
  5. Step 5: Solve for x
    x = 49,968,997,707.88/229,902.52
  6. Step 6: Final answer
    x = 217,348.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.