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Finding the Fourth Proportional to 164,532.68, 246,470.16 and 75,664.40

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Solution

The fourth proportional to 164,532.68, 246,470.16 and 75,664.40 is: 113,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,532.68 : 246,470.16 = 75,664.40 : x
  2. Step 2: Convert to fraction form
    164,532.68/246,470.16 = 75,664.40/x
  3. Step 3: Cross multiply
    164,532.68x = 246,470.16 × 75,664.40
  4. Step 4: Simplify right side
    164,532.68x = 18,649,016,774.30
  5. Step 5: Solve for x
    x = 18,649,016,774.30/164,532.68
  6. Step 6: Final answer
    x = 113,345.37

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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.