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Finding the Fourth Proportional to 152,910.91, 211,009.75 and 84,932.20

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Solution

The fourth proportional to 152,910.91, 211,009.75 and 84,932.20 is: 117,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,910.91 : 211,009.75 = 84,932.20 : x
  2. Step 2: Convert to fraction form
    152,910.91/211,009.75 = 84,932.20/x
  3. Step 3: Cross multiply
    152,910.91x = 211,009.75 × 84,932.20
  4. Step 4: Simplify right side
    152,910.91x = 17,921,522,288.95
  5. Step 5: Solve for x
    x = 17,921,522,288.95/152,910.91
  6. Step 6: Final answer
    x = 117,202.38

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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.