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Finding the Fourth Proportional to 233,951.76, 322,852.50 and 126,521.91

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Solution

The fourth proportional to 233,951.76, 322,852.50 and 126,521.91 is: 174,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,951.76 : 322,852.50 = 126,521.91 : x
  2. Step 2: Convert to fraction form
    233,951.76/322,852.50 = 126,521.91/x
  3. Step 3: Cross multiply
    233,951.76x = 322,852.50 × 126,521.91
  4. Step 4: Simplify right side
    233,951.76x = 40,847,914,948.28
  5. Step 5: Solve for x
    x = 40,847,914,948.28/233,951.76
  6. Step 6: Final answer
    x = 174,599.73

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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.