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Finding the Fourth Proportional to 200,694.65, 301,003.65 and 100,827.11

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Solution

The fourth proportional to 200,694.65, 301,003.65 and 100,827.11 is: 151,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,694.65 : 301,003.65 = 100,827.11 : x
  2. Step 2: Convert to fraction form
    200,694.65/301,003.65 = 100,827.11/x
  3. Step 3: Cross multiply
    200,694.65x = 301,003.65 × 100,827.11
  4. Step 4: Simplify right side
    200,694.65x = 30,349,328,881.46
  5. Step 5: Solve for x
    x = 30,349,328,881.46/200,694.65
  6. Step 6: Final answer
    x = 151,221.42

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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.