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Finding the Fourth Proportional to 256,532.12, 354,011.70 and 143,354.86

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Solution

The fourth proportional to 256,532.12, 354,011.70 and 143,354.86 is: 197,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,532.12 : 354,011.70 = 143,354.86 : x
  2. Step 2: Convert to fraction form
    256,532.12/354,011.70 = 143,354.86/x
  3. Step 3: Cross multiply
    256,532.12x = 354,011.70 × 143,354.86
  4. Step 4: Simplify right side
    256,532.12x = 50,749,297,691.86
  5. Step 5: Solve for x
    x = 50,749,297,691.86/256,532.12
  6. Step 6: Final answer
    x = 197,828.24

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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.