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Finding the Fourth Proportional to 100,183.52, 138,253.04 and 57,741.76

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Solution

The fourth proportional to 100,183.52, 138,253.04 and 57,741.76 is: 79,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,183.52 : 138,253.04 = 57,741.76 : x
  2. Step 2: Convert to fraction form
    100,183.52/138,253.04 = 57,741.76/x
  3. Step 3: Cross multiply
    100,183.52x = 138,253.04 × 57,741.76
  4. Step 4: Simplify right side
    100,183.52x = 7,982,973,854.95
  5. Step 5: Solve for x
    x = 7,982,973,854.95/100,183.52
  6. Step 6: Final answer
    x = 79,683.50

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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.