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Finding the Fourth Proportional to 146,861.59, 202,679.01 and 83,199.91

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Solution

The fourth proportional to 146,861.59, 202,679.01 and 83,199.91 is: 114,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,861.59 : 202,679.01 = 83,199.91 : x
  2. Step 2: Convert to fraction form
    146,861.59/202,679.01 = 83,199.91/x
  3. Step 3: Cross multiply
    146,861.59x = 202,679.01 × 83,199.91
  4. Step 4: Simplify right side
    146,861.59x = 16,862,874,377.49
  5. Step 5: Solve for x
    x = 16,862,874,377.49/146,861.59
  6. Step 6: Final answer
    x = 114,821.55

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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.