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Finding the Fourth Proportional to 151,212, 226,752.48 and 46,006.56

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Solution

The fourth proportional to 151,212, 226,752.48 and 46,006.56 is: 68,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,212 : 226,752.48 = 46,006.56 : x
  2. Step 2: Convert to fraction form
    151,212/226,752.48 = 46,006.56/x
  3. Step 3: Cross multiply
    151,212x = 226,752.48 × 46,006.56
  4. Step 4: Simplify right side
    151,212x = 10,432,101,576.27
  5. Step 5: Solve for x
    x = 10,432,101,576.27/151,212
  6. Step 6: Final answer
    x = 68,989.91

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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.