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Finding the Fourth Proportional to 107,283.44, 148,016.94 and 61,955.44

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Solution

The fourth proportional to 107,283.44, 148,016.94 and 61,955.44 is: 85,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,283.44 : 148,016.94 = 61,955.44 : x
  2. Step 2: Convert to fraction form
    107,283.44/148,016.94 = 61,955.44/x
  3. Step 3: Cross multiply
    107,283.44x = 148,016.94 × 61,955.44
  4. Step 4: Simplify right side
    107,283.44x = 9,170,454,042.78
  5. Step 5: Solve for x
    x = 9,170,454,042.78/107,283.44
  6. Step 6: Final answer
    x = 85,478.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.