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Finding the Fourth Proportional to 254,229.01, 381,365.68 and 83,399.50

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Solution

The fourth proportional to 254,229.01, 381,365.68 and 83,399.50 is: 125,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,229.01 : 381,365.68 = 83,399.50 : x
  2. Step 2: Convert to fraction form
    254,229.01/381,365.68 = 83,399.50/x
  3. Step 3: Cross multiply
    254,229.01x = 381,365.68 × 83,399.50
  4. Step 4: Simplify right side
    254,229.01x = 31,805,707,029.16
  5. Step 5: Solve for x
    x = 31,805,707,029.16/254,229.01
  6. Step 6: Final answer
    x = 125,106.52

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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.