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Finding the Fourth Proportional to 255,294.21, 352,353.24 and 147,864.21

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Solution

The fourth proportional to 255,294.21, 352,353.24 and 147,864.21 is: 204,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,294.21 : 352,353.24 = 147,864.21 : x
  2. Step 2: Convert to fraction form
    255,294.21/352,353.24 = 147,864.21/x
  3. Step 3: Cross multiply
    255,294.21x = 352,353.24 × 147,864.21
  4. Step 4: Simplify right side
    255,294.21x = 52,100,433,473.54
  5. Step 5: Solve for x
    x = 52,100,433,473.54/255,294.21
  6. Step 6: Final answer
    x = 204,079.97

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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.