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Finding the Fourth Proportional to 283,643.70, 425,523.15 and 96,674.10

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Solution

The fourth proportional to 283,643.70, 425,523.15 and 96,674.10 is: 145,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,643.70 : 425,523.15 = 96,674.10 : x
  2. Step 2: Convert to fraction form
    283,643.70/425,523.15 = 96,674.10/x
  3. Step 3: Cross multiply
    283,643.70x = 425,523.15 × 96,674.10
  4. Step 4: Simplify right side
    283,643.70x = 41,137,067,555.42
  5. Step 5: Solve for x
    x = 41,137,067,555.42/283,643.70
  6. Step 6: Final answer
    x = 145,030.78

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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.