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Finding the Fourth Proportional to 164,161.08, 246,350.16 and 75,411

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Solution

The fourth proportional to 164,161.08, 246,350.16 and 75,411 is: 113,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,161.08 : 246,350.16 = 75,411 : x
  2. Step 2: Convert to fraction form
    164,161.08/246,350.16 = 75,411/x
  3. Step 3: Cross multiply
    164,161.08x = 246,350.16 × 75,411
  4. Step 4: Simplify right side
    164,161.08x = 18,577,511,915.76
  5. Step 5: Solve for x
    x = 18,577,511,915.76/164,161.08
  6. Step 6: Final answer
    x = 113,166.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.