Home / 204,922.87-282,795.20-114,284.68

Finding the Fourth Proportional to 204,922.87, 282,795.20 and 114,284.68

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Solution

The fourth proportional to 204,922.87, 282,795.20 and 114,284.68 is: 157,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,922.87 : 282,795.20 = 114,284.68 : x
  2. Step 2: Convert to fraction form
    204,922.87/282,795.20 = 114,284.68/x
  3. Step 3: Cross multiply
    204,922.87x = 282,795.20 × 114,284.68
  4. Step 4: Simplify right side
    204,922.87x = 32,319,158,087.69
  5. Step 5: Solve for x
    x = 32,319,158,087.69/204,922.87
  6. Step 6: Final answer
    x = 157,713.77

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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.