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Finding the Fourth Proportional to 164,328, 226,772.72 and 88,876.48

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Solution

The fourth proportional to 164,328, 226,772.72 and 88,876.48 is: 122,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,328 : 226,772.72 = 88,876.48 : x
  2. Step 2: Convert to fraction form
    164,328/226,772.72 = 88,876.48/x
  3. Step 3: Cross multiply
    164,328x = 226,772.72 × 88,876.48
  4. Step 4: Simplify right side
    164,328x = 20,154,761,113.63
  5. Step 5: Solve for x
    x = 20,154,761,113.63/164,328
  6. Step 6: Final answer
    x = 122,649.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.