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Finding the Fourth Proportional to 200,792.52, 277,073.15 and 120,217.95

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Solution

The fourth proportional to 200,792.52, 277,073.15 and 120,217.95 is: 165,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,792.52 : 277,073.15 = 120,217.95 : x
  2. Step 2: Convert to fraction form
    200,792.52/277,073.15 = 120,217.95/x
  3. Step 3: Cross multiply
    200,792.52x = 277,073.15 × 120,217.95
  4. Step 4: Simplify right side
    200,792.52x = 33,309,165,491.95
  5. Step 5: Solve for x
    x = 33,309,165,491.95/200,792.52
  6. Step 6: Final answer
    x = 165,888.48

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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.