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Finding the Fourth Proportional to 200,749.80, 301,124.70 and 67,585.80

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Solution

The fourth proportional to 200,749.80, 301,124.70 and 67,585.80 is: 101,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,749.80 : 301,124.70 = 67,585.80 : x
  2. Step 2: Convert to fraction form
    200,749.80/301,124.70 = 67,585.80/x
  3. Step 3: Cross multiply
    200,749.80x = 301,124.70 × 67,585.80
  4. Step 4: Simplify right side
    200,749.80x = 20,351,753,749.26
  5. Step 5: Solve for x
    x = 20,351,753,749.26/200,749.80
  6. Step 6: Final answer
    x = 101,378.70

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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.