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Finding the Fourth Proportional to 164,647.76, 246,972.88 and 46,331.12

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Solution

The fourth proportional to 164,647.76, 246,972.88 and 46,331.12 is: 69,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647.76 : 246,972.88 = 46,331.12 : x
  2. Step 2: Convert to fraction form
    164,647.76/246,972.88 = 46,331.12/x
  3. Step 3: Cross multiply
    164,647.76x = 246,972.88 × 46,331.12
  4. Step 4: Simplify right side
    164,647.76x = 11,442,530,140.03
  5. Step 5: Solve for x
    x = 11,442,530,140.03/164,647.76
  6. Step 6: Final answer
    x = 69,497.03

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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.