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Finding the Fourth Proportional to 164,422.32, 226,902.84 and 88,971.12

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Solution

The fourth proportional to 164,422.32, 226,902.84 and 88,971.12 is: 122,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,422.32 : 226,902.84 = 88,971.12 : x
  2. Step 2: Convert to fraction form
    164,422.32/226,902.84 = 88,971.12/x
  3. Step 3: Cross multiply
    164,422.32x = 226,902.84 × 88,971.12
  4. Step 4: Simplify right side
    164,422.32x = 20,187,799,805.98
  5. Step 5: Solve for x
    x = 20,187,799,805.98/164,422.32
  6. Step 6: Final answer
    x = 122,780.17

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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.