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Finding the Fourth Proportional to 164,305.16, 226,799.22 and 97,237

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Solution

The fourth proportional to 164,305.16, 226,799.22 and 97,237 is: 134,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,305.16 : 226,799.22 = 97,237 : x
  2. Step 2: Convert to fraction form
    164,305.16/226,799.22 = 97,237/x
  3. Step 3: Cross multiply
    164,305.16x = 226,799.22 × 97,237
  4. Step 4: Simplify right side
    164,305.16x = 22,053,275,755.14
  5. Step 5: Solve for x
    x = 22,053,275,755.14/164,305.16
  6. Step 6: Final answer
    x = 134,221.44

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1.5x scale

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.