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Finding the Fourth Proportional to 263,600.32, 363,857.16 and 160,234.16

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Solution

The fourth proportional to 263,600.32, 363,857.16 and 160,234.16 is: 221,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,600.32 : 363,857.16 = 160,234.16 : x
  2. Step 2: Convert to fraction form
    263,600.32/363,857.16 = 160,234.16/x
  3. Step 3: Cross multiply
    263,600.32x = 363,857.16 × 160,234.16
  4. Step 4: Simplify right side
    263,600.32x = 58,302,346,392.59
  5. Step 5: Solve for x
    x = 58,302,346,392.59/263,600.32
  6. Step 6: Final answer
    x = 221,177.07

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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.