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Finding the Fourth Proportional to 200,809.08, 301,053.78 and 99,535.86

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Solution

The fourth proportional to 200,809.08, 301,053.78 and 99,535.86 is: 149,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809.08 : 301,053.78 = 99,535.86 : x
  2. Step 2: Convert to fraction form
    200,809.08/301,053.78 = 99,535.86/x
  3. Step 3: Cross multiply
    200,809.08x = 301,053.78 × 99,535.86
  4. Step 4: Simplify right side
    200,809.08x = 29,965,646,898.55
  5. Step 5: Solve for x
    x = 29,965,646,898.55/200,809.08
  6. Step 6: Final answer
    x = 149,224.56

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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.