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Finding the Fourth Proportional to 293,798.70, 440,827.65 and 135,945.90

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Solution

The fourth proportional to 293,798.70, 440,827.65 and 135,945.90 is: 203,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,798.70 : 440,827.65 = 135,945.90 : x
  2. Step 2: Convert to fraction form
    293,798.70/440,827.65 = 135,945.90/x
  3. Step 3: Cross multiply
    293,798.70x = 440,827.65 × 135,945.90
  4. Step 4: Simplify right side
    293,798.70x = 59,928,711,624.14
  5. Step 5: Solve for x
    x = 59,928,711,624.14/293,798.70
  6. Step 6: Final answer
    x = 203,978.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.