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Finding the Fourth Proportional to 198,284.65, 273,634.95 and 107,641.47

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Solution

The fourth proportional to 198,284.65, 273,634.95 and 107,641.47 is: 148,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,284.65 : 273,634.95 = 107,641.47 : x
  2. Step 2: Convert to fraction form
    198,284.65/273,634.95 = 107,641.47/x
  3. Step 3: Cross multiply
    198,284.65x = 273,634.95 × 107,641.47
  4. Step 4: Simplify right side
    198,284.65x = 29,454,468,261.38
  5. Step 5: Solve for x
    x = 29,454,468,261.38/198,284.65
  6. Step 6: Final answer
    x = 148,546.39

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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.