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Finding the Fourth Proportional to 199,455.84, 299,183.76 and 157,932

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Solution

The fourth proportional to 199,455.84, 299,183.76 and 157,932 is: 236,898

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,455.84 : 299,183.76 = 157,932 : x
  2. Step 2: Convert to fraction form
    199,455.84/299,183.76 = 157,932/x
  3. Step 3: Cross multiply
    199,455.84x = 299,183.76 × 157,932
  4. Step 4: Simplify right side
    199,455.84x = 47,250,689,584.32
  5. Step 5: Solve for x
    x = 47,250,689,584.32/199,455.84
  6. Step 6: Final answer
    x = 236,898

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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.