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Finding the Fourth Proportional to 156,997.92, 235,470.72 and 46,164

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Solution

The fourth proportional to 156,997.92, 235,470.72 and 46,164 is: 69,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,997.92 : 235,470.72 = 46,164 : x
  2. Step 2: Convert to fraction form
    156,997.92/235,470.72 = 46,164/x
  3. Step 3: Cross multiply
    156,997.92x = 235,470.72 × 46,164
  4. Step 4: Simplify right side
    156,997.92x = 10,870,270,318.08
  5. Step 5: Solve for x
    x = 10,870,270,318.08/156,997.92
  6. Step 6: Final answer
    x = 69,238.31

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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.