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Finding the Fourth Proportional to 204,414, 282,095.64 and 114,990

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Solution

The fourth proportional to 204,414, 282,095.64 and 114,990 is: 158,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,414 : 282,095.64 = 114,990 : x
  2. Step 2: Convert to fraction form
    204,414/282,095.64 = 114,990/x
  3. Step 3: Cross multiply
    204,414x = 282,095.64 × 114,990
  4. Step 4: Simplify right side
    204,414x = 32,438,177,643.60
  5. Step 5: Solve for x
    x = 32,438,177,643.60/204,414
  6. Step 6: Final answer
    x = 158,688.63

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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.