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Finding the Fourth Proportional to 143,701.68, 198,308.16 and 83,307.30

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Solution

The fourth proportional to 143,701.68, 198,308.16 and 83,307.30 is: 114,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,701.68 : 198,308.16 = 83,307.30 : x
  2. Step 2: Convert to fraction form
    143,701.68/198,308.16 = 83,307.30/x
  3. Step 3: Cross multiply
    143,701.68x = 198,308.16 × 83,307.30
  4. Step 4: Simplify right side
    143,701.68x = 16,520,517,377.57
  5. Step 5: Solve for x
    x = 16,520,517,377.57/143,701.68
  6. Step 6: Final answer
    x = 114,963.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.