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Finding the Fourth Proportional to 205,521.87, 283,598.49 and 114,868.29

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Solution

The fourth proportional to 205,521.87, 283,598.49 and 114,868.29 is: 158,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,521.87 : 283,598.49 = 114,868.29 : x
  2. Step 2: Convert to fraction form
    205,521.87/283,598.49 = 114,868.29/x
  3. Step 3: Cross multiply
    205,521.87x = 283,598.49 × 114,868.29
  4. Step 4: Simplify right side
    205,521.87x = 32,576,473,592.88
  5. Step 5: Solve for x
    x = 32,576,473,592.88/205,521.87
  6. Step 6: Final answer
    x = 158,506.12

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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.