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Finding the Fourth Proportional to 144,165.38, 198,947.43 and 79,639.06

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Solution

The fourth proportional to 144,165.38, 198,947.43 and 79,639.06 is: 109,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,165.38 : 198,947.43 = 79,639.06 : x
  2. Step 2: Convert to fraction form
    144,165.38/198,947.43 = 79,639.06/x
  3. Step 3: Cross multiply
    144,165.38x = 198,947.43 × 79,639.06
  4. Step 4: Simplify right side
    144,165.38x = 15,843,985,319.88
  5. Step 5: Solve for x
    x = 15,843,985,319.88/144,165.38
  6. Step 6: Final answer
    x = 109,901.46

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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.