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Finding the Fourth Proportional to 255,805.24, 353,234.10 and 160,475.80

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Solution

The fourth proportional to 255,805.24, 353,234.10 and 160,475.80 is: 221,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,805.24 : 353,234.10 = 160,475.80 : x
  2. Step 2: Convert to fraction form
    255,805.24/353,234.10 = 160,475.80/x
  3. Step 3: Cross multiply
    255,805.24x = 353,234.10 × 160,475.80
  4. Step 4: Simplify right side
    255,805.24x = 56,685,524,784.78
  5. Step 5: Solve for x
    x = 56,685,524,784.78/255,805.24
  6. Step 6: Final answer
    x = 221,596.42

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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.