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Finding the Fourth Proportional to 164,047.92, 246,071.96 and 45,722.32

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Solution

The fourth proportional to 164,047.92, 246,071.96 and 45,722.32 is: 68,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.92 : 246,071.96 = 45,722.32 : x
  2. Step 2: Convert to fraction form
    164,047.92/246,071.96 = 45,722.32/x
  3. Step 3: Cross multiply
    164,047.92x = 246,071.96 × 45,722.32
  4. Step 4: Simplify right side
    164,047.92x = 11,250,980,898.15
  5. Step 5: Solve for x
    x = 11,250,980,898.15/164,047.92
  6. Step 6: Final answer
    x = 68,583.50

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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.