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Finding the Fourth Proportional to 204,794.28, 307,232.70 and 86,465.32

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Solution

The fourth proportional to 204,794.28, 307,232.70 and 86,465.32 is: 129,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,794.28 : 307,232.70 = 86,465.32 : x
  2. Step 2: Convert to fraction form
    204,794.28/307,232.70 = 86,465.32/x
  3. Step 3: Cross multiply
    204,794.28x = 307,232.70 × 86,465.32
  4. Step 4: Simplify right side
    204,794.28x = 26,564,973,719.96
  5. Step 5: Solve for x
    x = 26,564,973,719.96/204,794.28
  6. Step 6: Final answer
    x = 129,715.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.