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Finding the Fourth Proportional to 138,930, 191,723.48 and 75,268.24

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Solution

The fourth proportional to 138,930, 191,723.48 and 75,268.24 is: 103,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,930 : 191,723.48 = 75,268.24 : x
  2. Step 2: Convert to fraction form
    138,930/191,723.48 = 75,268.24/x
  3. Step 3: Cross multiply
    138,930x = 191,723.48 × 75,268.24
  4. Step 4: Simplify right side
    138,930x = 14,430,688,906.28
  5. Step 5: Solve for x
    x = 14,430,688,906.28/138,930
  6. Step 6: Final answer
    x = 103,870.21

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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.