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Finding the Fourth Proportional to 199,582.35, 299,505.74 and 109,687.84

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Solution

The fourth proportional to 199,582.35, 299,505.74 and 109,687.84 is: 164,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,582.35 : 299,505.74 = 109,687.84 : x
  2. Step 2: Convert to fraction form
    199,582.35/299,505.74 = 109,687.84/x
  3. Step 3: Cross multiply
    199,582.35x = 299,505.74 × 109,687.84
  4. Step 4: Simplify right side
    199,582.35x = 32,852,137,688.20
  5. Step 5: Solve for x
    x = 32,852,137,688.20/199,582.35
  6. Step 6: Final answer
    x = 164,604.42

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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.