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Finding the Fourth Proportional to 106,753, 147,319.14 and 59,649

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Solution

The fourth proportional to 106,753, 147,319.14 and 59,649 is: 82,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753 : 147,319.14 = 59,649 : x
  2. Step 2: Convert to fraction form
    106,753/147,319.14 = 59,649/x
  3. Step 3: Cross multiply
    106,753x = 147,319.14 × 59,649
  4. Step 4: Simplify right side
    106,753x = 8,787,439,381.86
  5. Step 5: Solve for x
    x = 8,787,439,381.86/106,753
  6. Step 6: Final answer
    x = 82,315.62

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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.