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Finding the Fourth Proportional to 143,934.24, 198,630.18 and 83,541

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Solution

The fourth proportional to 143,934.24, 198,630.18 and 83,541 is: 115,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,934.24 : 198,630.18 = 83,541 : x
  2. Step 2: Convert to fraction form
    143,934.24/198,630.18 = 83,541/x
  3. Step 3: Cross multiply
    143,934.24x = 198,630.18 × 83,541
  4. Step 4: Simplify right side
    143,934.24x = 16,593,763,867.38
  5. Step 5: Solve for x
    x = 16,593,763,867.38/143,934.24
  6. Step 6: Final answer
    x = 115,287.12

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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.