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Finding the Fourth Proportional to 120,655.71, 180,983.61 and 41,726.88

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Solution

The fourth proportional to 120,655.71, 180,983.61 and 41,726.88 is: 62,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,655.71 : 180,983.61 = 41,726.88 : x
  2. Step 2: Convert to fraction form
    120,655.71/180,983.61 = 41,726.88/x
  3. Step 3: Cross multiply
    120,655.71x = 180,983.61 × 41,726.88
  4. Step 4: Simplify right side
    120,655.71x = 7,551,881,376.44
  5. Step 5: Solve for x
    x = 7,551,881,376.44/120,655.71
  6. Step 6: Final answer
    x = 62,590.34

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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.