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Finding the Fourth Proportional to 101,915.16, 140,638.19 and 56,596.02

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Solution

The fourth proportional to 101,915.16, 140,638.19 and 56,596.02 is: 78,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,915.16 : 140,638.19 = 56,596.02 : x
  2. Step 2: Convert to fraction form
    101,915.16/140,638.19 = 56,596.02/x
  3. Step 3: Cross multiply
    101,915.16x = 140,638.19 × 56,596.02
  4. Step 4: Simplify right side
    101,915.16x = 7,959,561,321.98
  5. Step 5: Solve for x
    x = 7,959,561,321.98/101,915.16
  6. Step 6: Final answer
    x = 78,099.87

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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.