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Finding the Fourth Proportional to 185,294.43, 255,706.29 and 100,411.49

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Solution

The fourth proportional to 185,294.43, 255,706.29 and 100,411.49 is: 138,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,294.43 : 255,706.29 = 100,411.49 : x
  2. Step 2: Convert to fraction form
    185,294.43/255,706.29 = 100,411.49/x
  3. Step 3: Cross multiply
    185,294.43x = 255,706.29 × 100,411.49
  4. Step 4: Simplify right side
    185,294.43x = 25,675,850,220.54
  5. Step 5: Solve for x
    x = 25,675,850,220.54/185,294.43
  6. Step 6: Final answer
    x = 138,567.85

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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.