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Finding the Fourth Proportional to 106,452.81, 146,899.93 and 61,098.87

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Solution

The fourth proportional to 106,452.81, 146,899.93 and 61,098.87 is: 84,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.81 : 146,899.93 = 61,098.87 : x
  2. Step 2: Convert to fraction form
    106,452.81/146,899.93 = 61,098.87/x
  3. Step 3: Cross multiply
    106,452.81x = 146,899.93 × 61,098.87
  4. Step 4: Simplify right side
    106,452.81x = 8,975,418,686.09
  5. Step 5: Solve for x
    x = 8,975,418,686.09/106,452.81
  6. Step 6: Final answer
    x = 84,313.59

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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.