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Finding the Fourth Proportional to 138,552.42, 191,204.47 and 81,178.01

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Solution

The fourth proportional to 138,552.42, 191,204.47 and 81,178.01 is: 112,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,552.42 : 191,204.47 = 81,178.01 : x
  2. Step 2: Convert to fraction form
    138,552.42/191,204.47 = 81,178.01/x
  3. Step 3: Cross multiply
    138,552.42x = 191,204.47 × 81,178.01
  4. Step 4: Simplify right side
    138,552.42x = 15,521,597,971.81
  5. Step 5: Solve for x
    x = 15,521,597,971.81/138,552.42
  6. Step 6: Final answer
    x = 112,026.90

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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.