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Finding the Fourth Proportional to 283,730.68, 425,662.26 and 96,742.36

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Solution

The fourth proportional to 283,730.68, 425,662.26 and 96,742.36 is: 145,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,730.68 : 425,662.26 = 96,742.36 : x
  2. Step 2: Convert to fraction form
    283,730.68/425,662.26 = 96,742.36/x
  3. Step 3: Cross multiply
    283,730.68x = 425,662.26 × 96,742.36
  4. Step 4: Simplify right side
    283,730.68x = 41,179,571,595.33
  5. Step 5: Solve for x
    x = 41,179,571,595.33/283,730.68
  6. Step 6: Final answer
    x = 145,136.13

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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.