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Finding the Fourth Proportional to 138,767.70, 208,151.55 and 75,563.40

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Solution

The fourth proportional to 138,767.70, 208,151.55 and 75,563.40 is: 113,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,767.70 : 208,151.55 = 75,563.40 : x
  2. Step 2: Convert to fraction form
    138,767.70/208,151.55 = 75,563.40/x
  3. Step 3: Cross multiply
    138,767.70x = 208,151.55 × 75,563.40
  4. Step 4: Simplify right side
    138,767.70x = 15,728,638,833.27
  5. Step 5: Solve for x
    x = 15,728,638,833.27/138,767.70
  6. Step 6: Final answer
    x = 113,345.10

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1.5x scale

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.