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Finding the Fourth Proportional to 259,584, 389,418.12 and 101,726.88

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Solution

The fourth proportional to 259,584, 389,418.12 and 101,726.88 is: 152,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,584 : 389,418.12 = 101,726.88 : x
  2. Step 2: Convert to fraction form
    259,584/389,418.12 = 101,726.88/x
  3. Step 3: Cross multiply
    259,584x = 389,418.12 × 101,726.88
  4. Step 4: Simplify right side
    259,584x = 39,614,290,363.07
  5. Step 5: Solve for x
    x = 39,614,290,363.07/259,584
  6. Step 6: Final answer
    x = 152,606.83

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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.