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Finding the Fourth Proportional to 106,870.20, 147,454.38 and 69,099

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Solution

The fourth proportional to 106,870.20, 147,454.38 and 69,099 is: 95,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,870.20 : 147,454.38 = 69,099 : x
  2. Step 2: Convert to fraction form
    106,870.20/147,454.38 = 69,099/x
  3. Step 3: Cross multiply
    106,870.20x = 147,454.38 × 69,099
  4. Step 4: Simplify right side
    106,870.20x = 10,188,950,203.62
  5. Step 5: Solve for x
    x = 10,188,950,203.62/106,870.20
  6. Step 6: Final answer
    x = 95,339.49

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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.