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Finding the Fourth Proportional to 199,580.35, 299,502.74 and 109,685.84

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Solution

The fourth proportional to 199,580.35, 299,502.74 and 109,685.84 is: 164,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,580.35 : 299,502.74 = 109,685.84 : x
  2. Step 2: Convert to fraction form
    199,580.35/299,502.74 = 109,685.84/x
  3. Step 3: Cross multiply
    199,580.35x = 299,502.74 × 109,685.84
  4. Step 4: Simplify right side
    199,580.35x = 32,851,209,619.20
  5. Step 5: Solve for x
    x = 32,851,209,619.20/199,580.35
  6. Step 6: Final answer
    x = 164,601.42

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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.