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Finding the Fourth Proportional to 202,864.71, 304,324.76 and 84,508.38

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Solution

The fourth proportional to 202,864.71, 304,324.76 and 84,508.38 is: 126,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,864.71 : 304,324.76 = 84,508.38 : x
  2. Step 2: Convert to fraction form
    202,864.71/304,324.76 = 84,508.38/x
  3. Step 3: Cross multiply
    202,864.71x = 304,324.76 × 84,508.38
  4. Step 4: Simplify right side
    202,864.71x = 25,717,992,461.49
  5. Step 5: Solve for x
    x = 25,717,992,461.49/202,864.71
  6. Step 6: Final answer
    x = 126,774.11

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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.