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Finding the Fourth Proportional to 283,684.64, 425,624.15 and 96,827.36

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Solution

The fourth proportional to 283,684.64, 425,624.15 and 96,827.36 is: 145,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,684.64 : 425,624.15 = 96,827.36 : x
  2. Step 2: Convert to fraction form
    283,684.64/425,624.15 = 96,827.36/x
  3. Step 3: Cross multiply
    283,684.64x = 425,624.15 × 96,827.36
  4. Step 4: Simplify right side
    283,684.64x = 41,212,060,910.69
  5. Step 5: Solve for x
    x = 41,212,060,910.69/283,684.64
  6. Step 6: Final answer
    x = 145,274.21

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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.