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Finding the Fourth Proportional to 143,701.38, 198,307.96 and 83,307.03

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Solution

The fourth proportional to 143,701.38, 198,307.96 and 83,307.03 is: 114,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,701.38 : 198,307.96 = 83,307.03 : x
  2. Step 2: Convert to fraction form
    143,701.38/198,307.96 = 83,307.03/x
  3. Step 3: Cross multiply
    143,701.38x = 198,307.96 × 83,307.03
  4. Step 4: Simplify right side
    143,701.38x = 16,520,448,206.66
  5. Step 5: Solve for x
    x = 16,520,448,206.66/143,701.38
  6. Step 6: Final answer
    x = 114,963.74

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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.