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Finding the Fourth Proportional to 206,867.24, 285,386.82 and 130,339.88

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Solution

The fourth proportional to 206,867.24, 285,386.82 and 130,339.88 is: 179,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,867.24 : 285,386.82 = 130,339.88 : x
  2. Step 2: Convert to fraction form
    206,867.24/285,386.82 = 130,339.88/x
  3. Step 3: Cross multiply
    206,867.24x = 285,386.82 × 130,339.88
  4. Step 4: Simplify right side
    206,867.24x = 37,197,283,872.38
  5. Step 5: Solve for x
    x = 37,197,283,872.38/206,867.24
  6. Step 6: Final answer
    x = 179,812.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.