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Finding the Fourth Proportional to 165,161, 247,753.86 and 46,841.87

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Solution

The fourth proportional to 165,161, 247,753.86 and 46,841.87 is: 70,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,161 : 247,753.86 = 46,841.87 : x
  2. Step 2: Convert to fraction form
    165,161/247,753.86 = 46,841.87/x
  3. Step 3: Cross multiply
    165,161x = 247,753.86 × 46,841.87
  4. Step 4: Simplify right side
    165,161x = 11,605,254,102.12
  5. Step 5: Solve for x
    x = 11,605,254,102.12/165,161
  6. Step 6: Final answer
    x = 70,266.31

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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.