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Finding the Fourth Proportional to 203,218.02, 280,577.80 and 126,853.38

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Solution

The fourth proportional to 203,218.02, 280,577.80 and 126,853.38 is: 175,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218.02 : 280,577.80 = 126,853.38 : x
  2. Step 2: Convert to fraction form
    203,218.02/280,577.80 = 126,853.38/x
  3. Step 3: Cross multiply
    203,218.02x = 280,577.80 × 126,853.38
  4. Step 4: Simplify right side
    203,218.02x = 35,592,242,282.96
  5. Step 5: Solve for x
    x = 35,592,242,282.96/203,218.02
  6. Step 6: Final answer
    x = 175,143.14

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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.