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Finding the Fourth Proportional to 150,716, 226,114.32 and 52,220

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Solution

The fourth proportional to 150,716, 226,114.32 and 52,220 is: 78,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,716 : 226,114.32 = 52,220 : x
  2. Step 2: Convert to fraction form
    150,716/226,114.32 = 52,220/x
  3. Step 3: Cross multiply
    150,716x = 226,114.32 × 52,220
  4. Step 4: Simplify right side
    150,716x = 11,807,689,790.40
  5. Step 5: Solve for x
    x = 11,807,689,790.40/150,716
  6. Step 6: Final answer
    x = 78,343.97

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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.