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Finding the Fourth Proportional to 138,772, 191,505.36 and 75,110.32

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Solution

The fourth proportional to 138,772, 191,505.36 and 75,110.32 is: 103,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,772 : 191,505.36 = 75,110.32 : x
  2. Step 2: Convert to fraction form
    138,772/191,505.36 = 75,110.32/x
  3. Step 3: Cross multiply
    138,772x = 191,505.36 × 75,110.32
  4. Step 4: Simplify right side
    138,772x = 14,384,028,871.32
  5. Step 5: Solve for x
    x = 14,384,028,871.32/138,772
  6. Step 6: Final answer
    x = 103,652.24

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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.