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Finding the Fourth Proportional to 283,909.82, 425,864.73 and 73,547.75

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Solution

The fourth proportional to 283,909.82, 425,864.73 and 73,547.75 is: 110,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,909.82 : 425,864.73 = 73,547.75 : x
  2. Step 2: Convert to fraction form
    283,909.82/425,864.73 = 73,547.75/x
  3. Step 3: Cross multiply
    283,909.82x = 425,864.73 × 73,547.75
  4. Step 4: Simplify right side
    283,909.82x = 31,321,392,695.86
  5. Step 5: Solve for x
    x = 31,321,392,695.86/283,909.82
  6. Step 6: Final answer
    x = 110,321.63

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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.