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Finding the Fourth Proportional to 202,949.34, 280,126.38 and 118,082.80

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Solution

The fourth proportional to 202,949.34, 280,126.38 and 118,082.80 is: 162,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,949.34 : 280,126.38 = 118,082.80 : x
  2. Step 2: Convert to fraction form
    202,949.34/280,126.38 = 118,082.80/x
  3. Step 3: Cross multiply
    202,949.34x = 280,126.38 × 118,082.80
  4. Step 4: Simplify right side
    202,949.34x = 33,078,107,304.26
  5. Step 5: Solve for x
    x = 33,078,107,304.26/202,949.34
  6. Step 6: Final answer
    x = 162,987.02

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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.