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Finding the Fourth Proportional to 107,198.84, 147,939.18 and 59,448.98

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Solution

The fourth proportional to 107,198.84, 147,939.18 and 59,448.98 is: 82,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,198.84 : 147,939.18 = 59,448.98 : x
  2. Step 2: Convert to fraction form
    107,198.84/147,939.18 = 59,448.98/x
  3. Step 3: Cross multiply
    107,198.84x = 147,939.18 × 59,448.98
  4. Step 4: Simplify right side
    107,198.84x = 8,794,833,353.04
  5. Step 5: Solve for x
    x = 8,794,833,353.04/107,198.84
  6. Step 6: Final answer
    x = 82,042.24

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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.