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Finding the Fourth Proportional to 283,782.24, 425,673.36 and 96,795.36

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Solution

The fourth proportional to 283,782.24, 425,673.36 and 96,795.36 is: 145,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,782.24 : 425,673.36 = 96,795.36 : x
  2. Step 2: Convert to fraction form
    283,782.24/425,673.36 = 96,795.36/x
  3. Step 3: Cross multiply
    283,782.24x = 425,673.36 × 96,795.36
  4. Step 4: Simplify right side
    283,782.24x = 41,203,206,123.61
  5. Step 5: Solve for x
    x = 41,203,206,123.61/283,782.24
  6. Step 6: Final answer
    x = 145,193.04

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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.