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Finding the Fourth Proportional to 204,508, 282,221.04 and 115,085.92

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Solution

The fourth proportional to 204,508, 282,221.04 and 115,085.92 is: 158,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,508 : 282,221.04 = 115,085.92 : x
  2. Step 2: Convert to fraction form
    204,508/282,221.04 = 115,085.92/x
  3. Step 3: Cross multiply
    204,508x = 282,221.04 × 115,085.92
  4. Step 4: Simplify right side
    204,508x = 32,479,668,031.76
  5. Step 5: Solve for x
    x = 32,479,668,031.76/204,508
  6. Step 6: Final answer
    x = 158,818.57

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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.