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Finding the Fourth Proportional to 259,205.68, 357,711.42 and 151,765.66

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Solution

The fourth proportional to 259,205.68, 357,711.42 and 151,765.66 is: 209,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,205.68 : 357,711.42 = 151,765.66 : x
  2. Step 2: Convert to fraction form
    259,205.68/357,711.42 = 151,765.66/x
  3. Step 3: Cross multiply
    259,205.68x = 357,711.42 × 151,765.66
  4. Step 4: Simplify right side
    259,205.68x = 54,288,309,745.84
  5. Step 5: Solve for x
    x = 54,288,309,745.84/259,205.68
  6. Step 6: Final answer
    x = 209,441.05

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1.5x scale

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.