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Finding the Fourth Proportional to 143,642.80, 215,464.20 and 81,434.80

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Solution

The fourth proportional to 143,642.80, 215,464.20 and 81,434.80 is: 122,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,642.80 : 215,464.20 = 81,434.80 : x
  2. Step 2: Convert to fraction form
    143,642.80/215,464.20 = 81,434.80/x
  3. Step 3: Cross multiply
    143,642.80x = 215,464.20 × 81,434.80
  4. Step 4: Simplify right side
    143,642.80x = 17,546,284,034.16
  5. Step 5: Solve for x
    x = 17,546,284,034.16/143,642.80
  6. Step 6: Final answer
    x = 122,152.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.