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Finding the Fourth Proportional to 200,736.32, 301,133.12 and 65,771.52

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Solution

The fourth proportional to 200,736.32, 301,133.12 and 65,771.52 is: 98,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736.32 : 301,133.12 = 65,771.52 : x
  2. Step 2: Convert to fraction form
    200,736.32/301,133.12 = 65,771.52/x
  3. Step 3: Cross multiply
    200,736.32x = 301,133.12 × 65,771.52
  4. Step 4: Simplify right side
    200,736.32x = 19,805,982,695.88
  5. Step 5: Solve for x
    x = 19,805,982,695.88/200,736.32
  6. Step 6: Final answer
    x = 98,666.66

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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.