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Finding the Fourth Proportional to 199,833.67, 299,770.65 and 64,892.08

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Solution

The fourth proportional to 199,833.67, 299,770.65 and 64,892.08 is: 97,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,833.67 : 299,770.65 = 64,892.08 : x
  2. Step 2: Convert to fraction form
    199,833.67/299,770.65 = 64,892.08/x
  3. Step 3: Cross multiply
    199,833.67x = 299,770.65 × 64,892.08
  4. Step 4: Simplify right side
    199,833.67x = 19,452,741,001.45
  5. Step 5: Solve for x
    x = 19,452,741,001.45/199,833.67
  6. Step 6: Final answer
    x = 97,344.66

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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.