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Finding the Fourth Proportional to 199,924.59, 299,902.35 and 66,805.31

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Solution

The fourth proportional to 199,924.59, 299,902.35 and 66,805.31 is: 100,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,924.59 : 299,902.35 = 66,805.31 : x
  2. Step 2: Convert to fraction form
    199,924.59/299,902.35 = 66,805.31/x
  3. Step 3: Cross multiply
    199,924.59x = 299,902.35 × 66,805.31
  4. Step 4: Simplify right side
    199,924.59x = 20,035,069,461.48
  5. Step 5: Solve for x
    x = 20,035,069,461.48/199,924.59
  6. Step 6: Final answer
    x = 100,213.13

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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.