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Finding the Fourth Proportional to 200,964.28, 301,235.58 and 67,798.60

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Solution

The fourth proportional to 200,964.28, 301,235.58 and 67,798.60 is: 101,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,964.28 : 301,235.58 = 67,798.60 : x
  2. Step 2: Convert to fraction form
    200,964.28/301,235.58 = 67,798.60/x
  3. Step 3: Cross multiply
    200,964.28x = 301,235.58 × 67,798.60
  4. Step 4: Simplify right side
    200,964.28x = 20,423,350,594.19
  5. Step 5: Solve for x
    x = 20,423,350,594.19/200,964.28
  6. Step 6: Final answer
    x = 101,626.77

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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.