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Finding the Fourth Proportional to 100,215.61, 138,297.38 and 54,895.50

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Solution

The fourth proportional to 100,215.61, 138,297.38 and 54,895.50 is: 75,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,215.61 : 138,297.38 = 54,895.50 : x
  2. Step 2: Convert to fraction form
    100,215.61/138,297.38 = 54,895.50/x
  3. Step 3: Cross multiply
    100,215.61x = 138,297.38 × 54,895.50
  4. Step 4: Simplify right side
    100,215.61x = 7,591,903,549.31
  5. Step 5: Solve for x
    x = 7,591,903,549.31/100,215.61
  6. Step 6: Final answer
    x = 75,755.70

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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.