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Finding the Fourth Proportional to 198,291.87, 273,643.52 and 107,648.01

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Solution

The fourth proportional to 198,291.87, 273,643.52 and 107,648.01 is: 148,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,291.87 : 273,643.52 = 107,648.01 : x
  2. Step 2: Convert to fraction form
    198,291.87/273,643.52 = 107,648.01/x
  3. Step 3: Cross multiply
    198,291.87x = 273,643.52 × 107,648.01
  4. Step 4: Simplify right side
    198,291.87x = 29,457,179,839.16
  5. Step 5: Solve for x
    x = 29,457,179,839.16/198,291.87
  6. Step 6: Final answer
    x = 148,554.65

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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.