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Finding the Fourth Proportional to 204,533.76, 282,343.68 and 137,504.64

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Solution

The fourth proportional to 204,533.76, 282,343.68 and 137,504.64 is: 189,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,533.76 : 282,343.68 = 137,504.64 : x
  2. Step 2: Convert to fraction form
    204,533.76/282,343.68 = 137,504.64/x
  3. Step 3: Cross multiply
    204,533.76x = 282,343.68 × 137,504.64
  4. Step 4: Simplify right side
    204,533.76x = 38,823,566,074.68
  5. Step 5: Solve for x
    x = 38,823,566,074.68/204,533.76
  6. Step 6: Final answer
    x = 189,814.95

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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.