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Finding the Fourth Proportional to 106,115.11, 146,338.72 and 69,752.32

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Solution

The fourth proportional to 106,115.11, 146,338.72 and 69,752.32 is: 96,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,115.11 : 146,338.72 = 69,752.32 : x
  2. Step 2: Convert to fraction form
    106,115.11/146,338.72 = 69,752.32/x
  3. Step 3: Cross multiply
    106,115.11x = 146,338.72 × 69,752.32
  4. Step 4: Simplify right side
    106,115.11x = 10,207,464,685.60
  5. Step 5: Solve for x
    x = 10,207,464,685.60/106,115.11
  6. Step 6: Final answer
    x = 96,192.38

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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.