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Finding the Fourth Proportional to 205,381.71, 283,423.62 and 114,738.99

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Solution

The fourth proportional to 205,381.71, 283,423.62 and 114,738.99 is: 158,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,381.71 : 283,423.62 = 114,738.99 : x
  2. Step 2: Convert to fraction form
    205,381.71/283,423.62 = 114,738.99/x
  3. Step 3: Cross multiply
    205,381.71x = 283,423.62 × 114,738.99
  4. Step 4: Simplify right side
    205,381.71x = 32,519,739,900.94
  5. Step 5: Solve for x
    x = 32,519,739,900.94/205,381.71
  6. Step 6: Final answer
    x = 158,338.05

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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.