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Finding the Fourth Proportional to 202,752.71, 304,097.10 and 67,815.75

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Solution

The fourth proportional to 202,752.71, 304,097.10 and 67,815.75 is: 101,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,752.71 : 304,097.10 = 67,815.75 : x
  2. Step 2: Convert to fraction form
    202,752.71/304,097.10 = 67,815.75/x
  3. Step 3: Cross multiply
    202,752.71x = 304,097.10 × 67,815.75
  4. Step 4: Simplify right side
    202,752.71x = 20,622,572,909.33
  5. Step 5: Solve for x
    x = 20,622,572,909.33/202,752.71
  6. Step 6: Final answer
    x = 101,712.94

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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.