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Finding the Fourth Proportional to 100,107.48, 138,146.47 and 54,784.55

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Solution

The fourth proportional to 100,107.48, 138,146.47 and 54,784.55 is: 75,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,107.48 : 138,146.47 = 54,784.55 : x
  2. Step 2: Convert to fraction form
    100,107.48/138,146.47 = 54,784.55/x
  3. Step 3: Cross multiply
    100,107.48x = 138,146.47 × 54,784.55
  4. Step 4: Simplify right side
    100,107.48x = 7,568,291,228.38
  5. Step 5: Solve for x
    x = 7,568,291,228.38/100,107.48
  6. Step 6: Final answer
    x = 75,601.66

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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.