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Finding the Fourth Proportional to 413,095.14, 619,642.71 and 132,809.22

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Solution

The fourth proportional to 413,095.14, 619,642.71 and 132,809.22 is: 199,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,095.14 : 619,642.71 = 132,809.22 : x
  2. Step 2: Convert to fraction form
    413,095.14/619,642.71 = 132,809.22/x
  3. Step 3: Cross multiply
    413,095.14x = 619,642.71 × 132,809.22
  4. Step 4: Simplify right side
    413,095.14x = 82,294,264,993.79
  5. Step 5: Solve for x
    x = 82,294,264,993.79/413,095.14
  6. Step 6: Final answer
    x = 199,213.83

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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.