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Finding the Fourth Proportional to 100,132.50, 138,183.06 and 54,813.38

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Solution

The fourth proportional to 100,132.50, 138,183.06 and 54,813.38 is: 75,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,132.50 : 138,183.06 = 54,813.38 : x
  2. Step 2: Convert to fraction form
    100,132.50/138,183.06 = 54,813.38/x
  3. Step 3: Cross multiply
    100,132.50x = 138,183.06 × 54,813.38
  4. Step 4: Simplify right side
    100,132.50x = 7,574,281,128.35
  5. Step 5: Solve for x
    x = 7,574,281,128.35/100,132.50
  6. Step 6: Final answer
    x = 75,642.58

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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.