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Finding the Fourth Proportional to 433,199.91, 649,886.49 and 133,669.23

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Solution

The fourth proportional to 433,199.91, 649,886.49 and 133,669.23 is: 200,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,199.91 : 649,886.49 = 133,669.23 : x
  2. Step 2: Convert to fraction form
    433,199.91/649,886.49 = 133,669.23/x
  3. Step 3: Cross multiply
    433,199.91x = 649,886.49 × 133,669.23
  4. Step 4: Simplify right side
    433,199.91x = 86,869,826,705.70
  5. Step 5: Solve for x
    x = 86,869,826,705.70/433,199.91
  6. Step 6: Final answer
    x = 200,530.57

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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.