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Finding the Fourth Proportional to 103,096, 142,272.75 and 60,101.02

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Solution

The fourth proportional to 103,096, 142,272.75 and 60,101.02 is: 82,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,096 : 142,272.75 = 60,101.02 : x
  2. Step 2: Convert to fraction form
    103,096/142,272.75 = 60,101.02/x
  3. Step 3: Cross multiply
    103,096x = 142,272.75 × 60,101.02
  4. Step 4: Simplify right side
    103,096x = 8,550,737,393.21
  5. Step 5: Solve for x
    x = 8,550,737,393.21/103,096
  6. Step 6: Final answer
    x = 82,939.56

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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.