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Finding the Fourth Proportional to 85,205.20, 127,807.80 and 72,083.20

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Solution

The fourth proportional to 85,205.20, 127,807.80 and 72,083.20 is: 108,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,205.20 : 127,807.80 = 72,083.20 : x
  2. Step 2: Convert to fraction form
    85,205.20/127,807.80 = 72,083.20/x
  3. Step 3: Cross multiply
    85,205.20x = 127,807.80 × 72,083.20
  4. Step 4: Simplify right side
    85,205.20x = 9,212,795,208.96
  5. Step 5: Solve for x
    x = 9,212,795,208.96/85,205.20
  6. Step 6: Final answer
    x = 108,124.80

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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.