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Finding the Fourth Proportional to 138,886.13, 191,662.86 and 75,224.39

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Solution

The fourth proportional to 138,886.13, 191,662.86 and 75,224.39 is: 103,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.13 : 191,662.86 = 75,224.39 : x
  2. Step 2: Convert to fraction form
    138,886.13/191,662.86 = 75,224.39/x
  3. Step 3: Cross multiply
    138,886.13x = 191,662.86 × 75,224.39
  4. Step 4: Simplify right side
    138,886.13x = 14,417,720,770.84
  5. Step 5: Solve for x
    x = 14,417,720,770.84/138,886.13
  6. Step 6: Final answer
    x = 103,809.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.