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Finding the Fourth Proportional to 200,728.94, 301,093.63 and 67,598.04

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Solution

The fourth proportional to 200,728.94, 301,093.63 and 67,598.04 is: 101,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728.94 : 301,093.63 = 67,598.04 : x
  2. Step 2: Convert to fraction form
    200,728.94/301,093.63 = 67,598.04/x
  3. Step 3: Cross multiply
    200,728.94x = 301,093.63 × 67,598.04
  4. Step 4: Simplify right side
    200,728.94x = 20,353,339,244.49
  5. Step 5: Solve for x
    x = 20,353,339,244.49/200,728.94
  6. Step 6: Final answer
    x = 101,397.14

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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.