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Finding the Fourth Proportional to 198,054.92, 273,315.93 and 107,410.88

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Solution

The fourth proportional to 198,054.92, 273,315.93 and 107,410.88 is: 148,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,054.92 : 273,315.93 = 107,410.88 : x
  2. Step 2: Convert to fraction form
    198,054.92/273,315.93 = 107,410.88/x
  3. Step 3: Cross multiply
    198,054.92x = 273,315.93 × 107,410.88
  4. Step 4: Simplify right side
    198,054.92x = 29,357,104,559.32
  5. Step 5: Solve for x
    x = 29,357,104,559.32/198,054.92
  6. Step 6: Final answer
    x = 148,227.09

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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.