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Finding the Fourth Proportional to 164,284, 226,712 and 88,832.48

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Solution

The fourth proportional to 164,284, 226,712 and 88,832.48 is: 122,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,284 : 226,712 = 88,832.48 : x
  2. Step 2: Convert to fraction form
    164,284/226,712 = 88,832.48/x
  3. Step 3: Cross multiply
    164,284x = 226,712 × 88,832.48
  4. Step 4: Simplify right side
    164,284x = 20,139,389,205.76
  5. Step 5: Solve for x
    x = 20,139,389,205.76/164,284
  6. Step 6: Final answer
    x = 122,588.87

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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.