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Finding the Fourth Proportional to 205,522.87, 283,599.87 and 114,869.29

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Solution

The fourth proportional to 205,522.87, 283,599.87 and 114,869.29 is: 158,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,522.87 : 283,599.87 = 114,869.29 : x
  2. Step 2: Convert to fraction form
    205,522.87/283,599.87 = 114,869.29/x
  3. Step 3: Cross multiply
    205,522.87x = 283,599.87 × 114,869.29
  4. Step 4: Simplify right side
    205,522.87x = 32,576,915,710.99
  5. Step 5: Solve for x
    x = 32,576,915,710.99/205,522.87
  6. Step 6: Final answer
    x = 158,507.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.