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Finding the Fourth Proportional to 200,887.42, 301,332.35 and 67,768.98

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Solution

The fourth proportional to 200,887.42, 301,332.35 and 67,768.98 is: 101,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,887.42 : 301,332.35 = 67,768.98 : x
  2. Step 2: Convert to fraction form
    200,887.42/301,332.35 = 67,768.98/x
  3. Step 3: Cross multiply
    200,887.42x = 301,332.35 × 67,768.98
  4. Step 4: Simplify right side
    200,887.42x = 20,420,986,000.50
  5. Step 5: Solve for x
    x = 20,420,986,000.50/200,887.42
  6. Step 6: Final answer
    x = 101,653.88

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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.