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Finding the Fourth Proportional to 100,712.40, 138,972.21 and 58,263

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Solution

The fourth proportional to 100,712.40, 138,972.21 and 58,263 is: 80,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.40 : 138,972.21 = 58,263 : x
  2. Step 2: Convert to fraction form
    100,712.40/138,972.21 = 58,263/x
  3. Step 3: Cross multiply
    100,712.40x = 138,972.21 × 58,263
  4. Step 4: Simplify right side
    100,712.40x = 8,096,937,871.23
  5. Step 5: Solve for x
    x = 8,096,937,871.23/100,712.40
  6. Step 6: Final answer
    x = 80,396.63

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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.