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Finding the Fourth Proportional to 409,151.66, 613,713.14 and 124,830.72

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Solution

The fourth proportional to 409,151.66, 613,713.14 and 124,830.72 is: 187,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,151.66 : 613,713.14 = 124,830.72 : x
  2. Step 2: Convert to fraction form
    409,151.66/613,713.14 = 124,830.72/x
  3. Step 3: Cross multiply
    409,151.66x = 613,713.14 × 124,830.72
  4. Step 4: Simplify right side
    409,151.66x = 76,610,252,983.62
  5. Step 5: Solve for x
    x = 76,610,252,983.62/409,151.66
  6. Step 6: Final answer
    x = 187,241.70

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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.