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Finding the Fourth Proportional to 204,803.91, 282,750.63 and 182,080.14

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Solution

The fourth proportional to 204,803.91, 282,750.63 and 182,080.14 is: 251,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,803.91 : 282,750.63 = 182,080.14 : x
  2. Step 2: Convert to fraction form
    204,803.91/282,750.63 = 182,080.14/x
  3. Step 3: Cross multiply
    204,803.91x = 282,750.63 × 182,080.14
  4. Step 4: Simplify right side
    204,803.91x = 51,483,274,295.49
  5. Step 5: Solve for x
    x = 51,483,274,295.49/204,803.91
  6. Step 6: Final answer
    x = 251,378.38

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1.5x scale

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.