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Finding the Fourth Proportional to 270,488.70, 405,723.33 and 83,500.20

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Solution

The fourth proportional to 270,488.70, 405,723.33 and 83,500.20 is: 125,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,488.70 : 405,723.33 = 83,500.20 : x
  2. Step 2: Convert to fraction form
    270,488.70/405,723.33 = 83,500.20/x
  3. Step 3: Cross multiply
    270,488.70x = 405,723.33 × 83,500.20
  4. Step 4: Simplify right side
    270,488.70x = 33,877,979,199.67
  5. Step 5: Solve for x
    x = 33,877,979,199.67/270,488.70
  6. Step 6: Final answer
    x = 125,247.30

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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.