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Finding the Fourth Proportional to 283,301.80, 424,910.58 and 105,786.52

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Solution

The fourth proportional to 283,301.80, 424,910.58 and 105,786.52 is: 158,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,301.80 : 424,910.58 = 105,786.52 : x
  2. Step 2: Convert to fraction form
    283,301.80/424,910.58 = 105,786.52/x
  3. Step 3: Cross multiply
    283,301.80x = 424,910.58 × 105,786.52
  4. Step 4: Simplify right side
    283,301.80x = 44,949,811,569.38
  5. Step 5: Solve for x
    x = 44,949,811,569.38/283,301.80
  6. Step 6: Final answer
    x = 158,664.05

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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.