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Finding the Fourth Proportional to 99,404, 137,180.40 and 54,692

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Solution

The fourth proportional to 99,404, 137,180.40 and 54,692 is: 75,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,404 : 137,180.40 = 54,692 : x
  2. Step 2: Convert to fraction form
    99,404/137,180.40 = 54,692/x
  3. Step 3: Cross multiply
    99,404x = 137,180.40 × 54,692
  4. Step 4: Simplify right side
    99,404x = 7,502,670,436.80
  5. Step 5: Solve for x
    x = 7,502,670,436.80/99,404
  6. Step 6: Final answer
    x = 75,476.54

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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.