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Finding the Fourth Proportional to 143,690.38, 198,292.61 and 83,296.08

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Solution

The fourth proportional to 143,690.38, 198,292.61 and 83,296.08 is: 114,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,690.38 : 198,292.61 = 83,296.08 : x
  2. Step 2: Convert to fraction form
    143,690.38/198,292.61 = 83,296.08/x
  3. Step 3: Cross multiply
    143,690.38x = 198,292.61 × 83,296.08
  4. Step 4: Simplify right side
    143,690.38x = 16,516,997,314.21
  5. Step 5: Solve for x
    x = 16,516,997,314.21/143,690.38
  6. Step 6: Final answer
    x = 114,948.53

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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.