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Finding the Fourth Proportional to 146,452.38, 202,113 and 82,796.10

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Solution

The fourth proportional to 146,452.38, 202,113 and 82,796.10 is: 114,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,452.38 : 202,113 = 82,796.10 : x
  2. Step 2: Convert to fraction form
    146,452.38/202,113 = 82,796.10/x
  3. Step 3: Cross multiply
    146,452.38x = 202,113 × 82,796.10
  4. Step 4: Simplify right side
    146,452.38x = 16,734,168,159.30
  5. Step 5: Solve for x
    x = 16,734,168,159.30/146,452.38
  6. Step 6: Final answer
    x = 114,263.55

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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.