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Finding the Fourth Proportional to 100,416.47, 138,578.84 and 60,122.21

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Solution

The fourth proportional to 100,416.47, 138,578.84 and 60,122.21 is: 82,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416.47 : 138,578.84 = 60,122.21 : x
  2. Step 2: Convert to fraction form
    100,416.47/138,578.84 = 60,122.21/x
  3. Step 3: Cross multiply
    100,416.47x = 138,578.84 × 60,122.21
  4. Step 4: Simplify right side
    100,416.47x = 8,331,665,126.53
  5. Step 5: Solve for x
    x = 8,331,665,126.53/100,416.47
  6. Step 6: Final answer
    x = 82,971.11

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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.