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Finding the Fourth Proportional to 283,457.40, 425,231.94 and 83,797.80

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Solution

The fourth proportional to 283,457.40, 425,231.94 and 83,797.80 is: 125,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,457.40 : 425,231.94 = 83,797.80 : x
  2. Step 2: Convert to fraction form
    283,457.40/425,231.94 = 83,797.80/x
  3. Step 3: Cross multiply
    283,457.40x = 425,231.94 × 83,797.80
  4. Step 4: Simplify right side
    283,457.40x = 35,633,501,061.73
  5. Step 5: Solve for x
    x = 35,633,501,061.73/283,457.40
  6. Step 6: Final answer
    x = 125,710.25

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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.