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Finding the Fourth Proportional to 138,199.68, 190,713.33 and 77,770.31

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Solution

The fourth proportional to 138,199.68, 190,713.33 and 77,770.31 is: 107,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199.68 : 190,713.33 = 77,770.31 : x
  2. Step 2: Convert to fraction form
    138,199.68/190,713.33 = 77,770.31/x
  3. Step 3: Cross multiply
    138,199.68x = 190,713.33 × 77,770.31
  4. Step 4: Simplify right side
    138,199.68x = 14,831,833,841.67
  5. Step 5: Solve for x
    x = 14,831,833,841.67/138,199.68
  6. Step 6: Final answer
    x = 107,321.77

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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.