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Finding the Fourth Proportional to 138,742.84, 191,465.11 and 75,080.63

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Solution

The fourth proportional to 138,742.84, 191,465.11 and 75,080.63 is: 103,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,742.84 : 191,465.11 = 75,080.63 : x
  2. Step 2: Convert to fraction form
    138,742.84/191,465.11 = 75,080.63/x
  3. Step 3: Cross multiply
    138,742.84x = 191,465.11 × 75,080.63
  4. Step 4: Simplify right side
    138,742.84x = 14,375,321,081.82
  5. Step 5: Solve for x
    x = 14,375,321,081.82/138,742.84
  6. Step 6: Final answer
    x = 103,611.27

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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.