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Finding the Fourth Proportional to 243,677.32, 365,578.86 and 75,193.96

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Solution

The fourth proportional to 243,677.32, 365,578.86 and 75,193.96 is: 112,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,677.32 : 365,578.86 = 75,193.96 : x
  2. Step 2: Convert to fraction form
    243,677.32/365,578.86 = 75,193.96/x
  3. Step 3: Cross multiply
    243,677.32x = 365,578.86 × 75,193.96
  4. Step 4: Simplify right side
    243,677.32x = 27,489,322,175.69
  5. Step 5: Solve for x
    x = 27,489,322,175.69/243,677.32
  6. Step 6: Final answer
    x = 112,810.34

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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.