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Finding the Fourth Proportional to 283,283.05, 424,993.20 and 83,599.01

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Solution

The fourth proportional to 283,283.05, 424,993.20 and 83,599.01 is: 125,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,283.05 : 424,993.20 = 83,599.01 : x
  2. Step 2: Convert to fraction form
    283,283.05/424,993.20 = 83,599.01/x
  3. Step 3: Cross multiply
    283,283.05x = 424,993.20 × 83,599.01
  4. Step 4: Simplify right side
    283,283.05x = 35,529,010,776.73
  5. Step 5: Solve for x
    x = 35,529,010,776.73/283,283.05
  6. Step 6: Final answer
    x = 125,418.77

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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.