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Finding the Fourth Proportional to 229,346.92, 316,509.24 and 127,372.78

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Solution

The fourth proportional to 229,346.92, 316,509.24 and 127,372.78 is: 175,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,346.92 : 316,509.24 = 127,372.78 : x
  2. Step 2: Convert to fraction form
    229,346.92/316,509.24 = 127,372.78/x
  3. Step 3: Cross multiply
    229,346.92x = 316,509.24 × 127,372.78
  4. Step 4: Simplify right side
    229,346.92x = 40,314,661,794.49
  5. Step 5: Solve for x
    x = 40,314,661,794.49/229,346.92
  6. Step 6: Final answer
    x = 175,780.26

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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.