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Finding the Fourth Proportional to 105,344.64, 145,375.74 and 60,020.64

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Solution

The fourth proportional to 105,344.64, 145,375.74 and 60,020.64 is: 82,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,344.64 : 145,375.74 = 60,020.64 : x
  2. Step 2: Convert to fraction form
    105,344.64/145,375.74 = 60,020.64/x
  3. Step 3: Cross multiply
    105,344.64x = 145,375.74 × 60,020.64
  4. Step 4: Simplify right side
    105,344.64x = 8,725,544,955.27
  5. Step 5: Solve for x
    x = 8,725,544,955.27/105,344.64
  6. Step 6: Final answer
    x = 82,828.56

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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.