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Finding the Fourth Proportional to 144,545.65, 199,435.16 and 83,276.84

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Solution

The fourth proportional to 144,545.65, 199,435.16 and 83,276.84 is: 114,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,545.65 : 199,435.16 = 83,276.84 : x
  2. Step 2: Convert to fraction form
    144,545.65/199,435.16 = 83,276.84/x
  3. Step 3: Cross multiply
    144,545.65x = 199,435.16 × 83,276.84
  4. Step 4: Simplify right side
    144,545.65x = 16,608,329,493.31
  5. Step 5: Solve for x
    x = 16,608,329,493.31/144,545.65
  6. Step 6: Final answer
    x = 114,900.24

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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.