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Finding the Fourth Proportional to 360,809.66, 541,151.13 and 111,493.82

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Solution

The fourth proportional to 360,809.66, 541,151.13 and 111,493.82 is: 167,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,809.66 : 541,151.13 = 111,493.82 : x
  2. Step 2: Convert to fraction form
    360,809.66/541,151.13 = 111,493.82/x
  3. Step 3: Cross multiply
    360,809.66x = 541,151.13 × 111,493.82
  4. Step 4: Simplify right side
    360,809.66x = 60,335,006,681.02
  5. Step 5: Solve for x
    x = 60,335,006,681.02/360,809.66
  6. Step 6: Final answer
    x = 167,221.15

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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.