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Finding the Fourth Proportional to 85,830.30, 128,745.45 and 78,227.10

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Solution

The fourth proportional to 85,830.30, 128,745.45 and 78,227.10 is: 117,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830.30 : 128,745.45 = 78,227.10 : x
  2. Step 2: Convert to fraction form
    85,830.30/128,745.45 = 78,227.10/x
  3. Step 3: Cross multiply
    85,830.30x = 128,745.45 × 78,227.10
  4. Step 4: Simplify right side
    85,830.30x = 10,071,383,191.70
  5. Step 5: Solve for x
    x = 10,071,383,191.70/85,830.30
  6. Step 6: Final answer
    x = 117,340.65

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Similar ratio
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1.5x scale

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.