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Finding the Fourth Proportional to 202,806.59, 304,393.65 and 108,116.17

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Solution

The fourth proportional to 202,806.59, 304,393.65 and 108,116.17 is: 162,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,806.59 : 304,393.65 = 108,116.17 : x
  2. Step 2: Convert to fraction form
    202,806.59/304,393.65 = 108,116.17/x
  3. Step 3: Cross multiply
    202,806.59x = 304,393.65 × 108,116.17
  4. Step 4: Simplify right side
    202,806.59x = 32,909,874,443.90
  5. Step 5: Solve for x
    x = 32,909,874,443.90/202,806.59
  6. Step 6: Final answer
    x = 162,272.22

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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.