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Finding the Fourth Proportional to 164,250.12, 226,470.84 and 115,860

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Solution

The fourth proportional to 164,250.12, 226,470.84 and 115,860 is: 159,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,250.12 : 226,470.84 = 115,860 : x
  2. Step 2: Convert to fraction form
    164,250.12/226,470.84 = 115,860/x
  3. Step 3: Cross multiply
    164,250.12x = 226,470.84 × 115,860
  4. Step 4: Simplify right side
    164,250.12x = 26,238,911,522.40
  5. Step 5: Solve for x
    x = 26,238,911,522.40/164,250.12
  6. Step 6: Final answer
    x = 159,749.73

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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.