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Finding the Fourth Proportional to 106,494.81, 146,957.90 and 61,140.89

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Solution

The fourth proportional to 106,494.81, 146,957.90 and 61,140.89 is: 84,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.81 : 146,957.90 = 61,140.89 : x
  2. Step 2: Convert to fraction form
    106,494.81/146,957.90 = 61,140.89/x
  3. Step 3: Cross multiply
    106,494.81x = 146,957.90 × 61,140.89
  4. Step 4: Simplify right side
    106,494.81x = 8,985,135,758.04
  5. Step 5: Solve for x
    x = 8,985,135,758.04/106,494.81
  6. Step 6: Final answer
    x = 84,371.58

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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.