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Finding the Fourth Proportional to 99,378, 137,144.52 and 54,666

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Solution

The fourth proportional to 99,378, 137,144.52 and 54,666 is: 75,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,378 : 137,144.52 = 54,666 : x
  2. Step 2: Convert to fraction form
    99,378/137,144.52 = 54,666/x
  3. Step 3: Cross multiply
    99,378x = 137,144.52 × 54,666
  4. Step 4: Simplify right side
    99,378x = 7,497,142,330.32
  5. Step 5: Solve for x
    x = 7,497,142,330.32/99,378
  6. Step 6: Final answer
    x = 75,440.66

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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.