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Finding the Fourth Proportional to 200,267.30, 300,448.38 and 65,330.66

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Solution

The fourth proportional to 200,267.30, 300,448.38 and 65,330.66 is: 98,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,267.30 : 300,448.38 = 65,330.66 : x
  2. Step 2: Convert to fraction form
    200,267.30/300,448.38 = 65,330.66/x
  3. Step 3: Cross multiply
    200,267.30x = 300,448.38 × 65,330.66
  4. Step 4: Simplify right side
    200,267.30x = 19,628,490,961.33
  5. Step 5: Solve for x
    x = 19,628,490,961.33/200,267.30
  6. Step 6: Final answer
    x = 98,011.46

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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.