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Finding the Fourth Proportional to 229,615.92, 316,873.71 and 126,254.46

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Solution

The fourth proportional to 229,615.92, 316,873.71 and 126,254.46 is: 174,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,615.92 : 316,873.71 = 126,254.46 : x
  2. Step 2: Convert to fraction form
    229,615.92/316,873.71 = 126,254.46/x
  3. Step 3: Cross multiply
    229,615.92x = 316,873.71 × 126,254.46
  4. Step 4: Simplify right side
    229,615.92x = 40,006,719,144.25
  5. Step 5: Solve for x
    x = 40,006,719,144.25/229,615.92
  6. Step 6: Final answer
    x = 174,233.21

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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.