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Finding the Fourth Proportional to 269,193.72, 403,409.61 and 149,303.45

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Solution

The fourth proportional to 269,193.72, 403,409.61 and 149,303.45 is: 223,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,193.72 : 403,409.61 = 149,303.45 : x
  2. Step 2: Convert to fraction form
    269,193.72/403,409.61 = 149,303.45/x
  3. Step 3: Cross multiply
    269,193.72x = 403,409.61 × 149,303.45
  4. Step 4: Simplify right side
    269,193.72x = 60,230,444,519.11
  5. Step 5: Solve for x
    x = 60,230,444,519.11/269,193.72
  6. Step 6: Final answer
    x = 223,743.87

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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.