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Finding the Fourth Proportional to 106,399.80, 146,830.13 and 58,652.12

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Solution

The fourth proportional to 106,399.80, 146,830.13 and 58,652.12 is: 80,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.80 : 146,830.13 = 58,652.12 : x
  2. Step 2: Convert to fraction form
    106,399.80/146,830.13 = 58,652.12/x
  3. Step 3: Cross multiply
    106,399.80x = 146,830.13 × 58,652.12
  4. Step 4: Simplify right side
    106,399.80x = 8,611,898,404.38
  5. Step 5: Solve for x
    x = 8,611,898,404.38/106,399.80
  6. Step 6: Final answer
    x = 80,939.05

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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.