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Finding the Fourth Proportional to 106,452.49, 146,899.49 and 61,098.55

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Solution

The fourth proportional to 106,452.49, 146,899.49 and 61,098.55 is: 84,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.49 : 146,899.49 = 61,098.55 : x
  2. Step 2: Convert to fraction form
    106,452.49/146,899.49 = 61,098.55/x
  3. Step 3: Cross multiply
    106,452.49x = 146,899.49 × 61,098.55
  4. Step 4: Simplify right side
    106,452.49x = 8,975,346,171.11
  5. Step 5: Solve for x
    x = 8,975,346,171.11/106,452.49
  6. Step 6: Final answer
    x = 84,313.16

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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.