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Finding the Fourth Proportional to 106,537.38, 147,029.90 and 61,231.18

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Solution

The fourth proportional to 106,537.38, 147,029.90 and 61,231.18 is: 84,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,537.38 : 147,029.90 = 61,231.18 : x
  2. Step 2: Convert to fraction form
    106,537.38/147,029.90 = 61,231.18/x
  3. Step 3: Cross multiply
    106,537.38x = 147,029.90 × 61,231.18
  4. Step 4: Simplify right side
    106,537.38x = 9,002,813,598.55
  5. Step 5: Solve for x
    x = 9,002,813,598.55/106,537.38
  6. Step 6: Final answer
    x = 84,503.80

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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.