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Finding the Fourth Proportional to 234,013.40, 351,020.10 and 127,725.20

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Solution

The fourth proportional to 234,013.40, 351,020.10 and 127,725.20 is: 191,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,013.40 : 351,020.10 = 127,725.20 : x
  2. Step 2: Convert to fraction form
    234,013.40/351,020.10 = 127,725.20/x
  3. Step 3: Cross multiply
    234,013.40x = 351,020.10 × 127,725.20
  4. Step 4: Simplify right side
    234,013.40x = 44,834,112,476.52
  5. Step 5: Solve for x
    x = 44,834,112,476.52/234,013.40
  6. Step 6: Final answer
    x = 191,587.80

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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.