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Finding the Fourth Proportional to 200,751.88, 277,126.48 and 140,559.16

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Solution

The fourth proportional to 200,751.88, 277,126.48 and 140,559.16 is: 194,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,751.88 : 277,126.48 = 140,559.16 : x
  2. Step 2: Convert to fraction form
    200,751.88/277,126.48 = 140,559.16/x
  3. Step 3: Cross multiply
    200,751.88x = 277,126.48 × 140,559.16
  4. Step 4: Simplify right side
    200,751.88x = 38,952,665,242.56
  5. Step 5: Solve for x
    x = 38,952,665,242.56/200,751.88
  6. Step 6: Final answer
    x = 194,033.88

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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.