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Finding the Fourth Proportional to 200,082.98, 276,199.54 and 124,668.74

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Solution

The fourth proportional to 200,082.98, 276,199.54 and 124,668.74 is: 172,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.98 : 276,199.54 = 124,668.74 : x
  2. Step 2: Convert to fraction form
    200,082.98/276,199.54 = 124,668.74/x
  3. Step 3: Cross multiply
    200,082.98x = 276,199.54 × 124,668.74
  4. Step 4: Simplify right side
    200,082.98x = 34,433,448,640.38
  5. Step 5: Solve for x
    x = 34,433,448,640.38/200,082.98
  6. Step 6: Final answer
    x = 172,095.84

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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.