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Finding the Fourth Proportional to 198,534.32, 273,978.48 and 107,891.04

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Solution

The fourth proportional to 198,534.32, 273,978.48 and 107,891.04 is: 148,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,534.32 : 273,978.48 = 107,891.04 : x
  2. Step 2: Convert to fraction form
    198,534.32/273,978.48 = 107,891.04/x
  3. Step 3: Cross multiply
    198,534.32x = 273,978.48 × 107,891.04
  4. Step 4: Simplify right side
    198,534.32x = 29,559,823,144.82
  5. Step 5: Solve for x
    x = 29,559,823,144.82/198,534.32
  6. Step 6: Final answer
    x = 148,890.24

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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.