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Finding the Fourth Proportional to 264,113.95, 396,128.66 and 84,176

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Solution

The fourth proportional to 264,113.95, 396,128.66 and 84,176 is: 126,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,113.95 : 396,128.66 = 84,176 : x
  2. Step 2: Convert to fraction form
    264,113.95/396,128.66 = 84,176/x
  3. Step 3: Cross multiply
    264,113.95x = 396,128.66 × 84,176
  4. Step 4: Simplify right side
    264,113.95x = 33,344,526,084.16
  5. Step 5: Solve for x
    x = 33,344,526,084.16/264,113.95
  6. Step 6: Final answer
    x = 126,250.53

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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.