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Finding the Fourth Proportional to 99,846.16, 137,785.68 and 54,522.40

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Solution

The fourth proportional to 99,846.16, 137,785.68 and 54,522.40 is: 75,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,846.16 : 137,785.68 = 54,522.40 : x
  2. Step 2: Convert to fraction form
    99,846.16/137,785.68 = 54,522.40/x
  3. Step 3: Cross multiply
    99,846.16x = 137,785.68 × 54,522.40
  4. Step 4: Simplify right side
    99,846.16x = 7,512,405,959.23
  5. Step 5: Solve for x
    x = 7,512,405,959.23/99,846.16
  6. Step 6: Final answer
    x = 75,239.81

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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.