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Finding the Fourth Proportional to 259,359.72, 357,911.46 and 146,180.20

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Solution

The fourth proportional to 259,359.72, 357,911.46 and 146,180.20 is: 201,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,359.72 : 357,911.46 = 146,180.20 : x
  2. Step 2: Convert to fraction form
    259,359.72/357,911.46 = 146,180.20/x
  3. Step 3: Cross multiply
    259,359.72x = 357,911.46 × 146,180.20
  4. Step 4: Simplify right side
    259,359.72x = 52,319,568,805.09
  5. Step 5: Solve for x
    x = 52,319,568,805.09/259,359.72
  6. Step 6: Final answer
    x = 201,725.88

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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.