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Finding the Fourth Proportional to 284,202.20, 426,497.70 and 157,842.20

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Solution

The fourth proportional to 284,202.20, 426,497.70 and 157,842.20 is: 236,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,202.20 : 426,497.70 = 157,842.20 : x
  2. Step 2: Convert to fraction form
    284,202.20/426,497.70 = 157,842.20/x
  3. Step 3: Cross multiply
    284,202.20x = 426,497.70 × 157,842.20
  4. Step 4: Simplify right side
    284,202.20x = 67,319,335,262.94
  5. Step 5: Solve for x
    x = 67,319,335,262.94/284,202.20
  6. Step 6: Final answer
    x = 236,871.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.