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Finding the Fourth Proportional to 143,159.68, 197,545.92 and 83,578.24

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Solution

The fourth proportional to 143,159.68, 197,545.92 and 83,578.24 is: 115,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,159.68 : 197,545.92 = 83,578.24 : x
  2. Step 2: Convert to fraction form
    143,159.68/197,545.92 = 83,578.24/x
  3. Step 3: Cross multiply
    143,159.68x = 197,545.92 × 83,578.24
  4. Step 4: Simplify right side
    143,159.68x = 16,510,540,312.78
  5. Step 5: Solve for x
    x = 16,510,540,312.78/143,159.68
  6. Step 6: Final answer
    x = 115,329.54

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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.