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Finding the Fourth Proportional to 199,809.95, 299,456.58 and 149,495.28

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Solution

The fourth proportional to 199,809.95, 299,456.58 and 149,495.28 is: 224,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,809.95 : 299,456.58 = 149,495.28 : x
  2. Step 2: Convert to fraction form
    199,809.95/299,456.58 = 149,495.28/x
  3. Step 3: Cross multiply
    199,809.95x = 299,456.58 × 149,495.28
  4. Step 4: Simplify right side
    199,809.95x = 44,767,344,713.90
  5. Step 5: Solve for x
    x = 44,767,344,713.90/199,809.95
  6. Step 6: Final answer
    x = 224,049.63

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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.