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Finding the Fourth Proportional to 101,986.92, 152,850.57 and 57,638.40

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Solution

The fourth proportional to 101,986.92, 152,850.57 and 57,638.40 is: 86,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986.92 : 152,850.57 = 57,638.40 : x
  2. Step 2: Convert to fraction form
    101,986.92/152,850.57 = 57,638.40/x
  3. Step 3: Cross multiply
    101,986.92x = 152,850.57 × 57,638.40
  4. Step 4: Simplify right side
    101,986.92x = 8,810,062,293.89
  5. Step 5: Solve for x
    x = 8,810,062,293.89/101,986.92
  6. Step 6: Final answer
    x = 86,384.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.