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Finding the Fourth Proportional to 99,843.85, 149,830.17 and 64,301.46

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Solution

The fourth proportional to 99,843.85, 149,830.17 and 64,301.46 is: 96,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.85 : 149,830.17 = 64,301.46 : x
  2. Step 2: Convert to fraction form
    99,843.85/149,830.17 = 64,301.46/x
  3. Step 3: Cross multiply
    99,843.85x = 149,830.17 × 64,301.46
  4. Step 4: Simplify right side
    99,843.85x = 9,634,298,683.05
  5. Step 5: Solve for x
    x = 9,634,298,683.05/99,843.85
  6. Step 6: Final answer
    x = 96,493.66

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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.