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Finding the Fourth Proportional to 144,760.30, 199,753.09 and 84,318.30

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Solution

The fourth proportional to 144,760.30, 199,753.09 and 84,318.30 is: 116,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,760.30 : 199,753.09 = 84,318.30 : x
  2. Step 2: Convert to fraction form
    144,760.30/199,753.09 = 84,318.30/x
  3. Step 3: Cross multiply
    144,760.30x = 199,753.09 × 84,318.30
  4. Step 4: Simplify right side
    144,760.30x = 16,842,840,757.75
  5. Step 5: Solve for x
    x = 16,842,840,757.75/144,760.30
  6. Step 6: Final answer
    x = 116,349.86

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1.5x scale

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.