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Finding the Fourth Proportional to 283,519.12, 425,200.92 and 105,967.12

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Solution

The fourth proportional to 283,519.12, 425,200.92 and 105,967.12 is: 158,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,519.12 : 425,200.92 = 105,967.12 : x
  2. Step 2: Convert to fraction form
    283,519.12/425,200.92 = 105,967.12/x
  3. Step 3: Cross multiply
    283,519.12x = 425,200.92 × 105,967.12
  4. Step 4: Simplify right side
    283,519.12x = 45,057,316,913.75
  5. Step 5: Solve for x
    x = 45,057,316,913.75/283,519.12
  6. Step 6: Final answer
    x = 158,921.62

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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.