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Finding the Fourth Proportional to 109,963.80, 164,945.70 and 81,970.20

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Solution

The fourth proportional to 109,963.80, 164,945.70 and 81,970.20 is: 122,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.80 : 164,945.70 = 81,970.20 : x
  2. Step 2: Convert to fraction form
    109,963.80/164,945.70 = 81,970.20/x
  3. Step 3: Cross multiply
    109,963.80x = 164,945.70 × 81,970.20
  4. Step 4: Simplify right side
    109,963.80x = 13,520,632,018.14
  5. Step 5: Solve for x
    x = 13,520,632,018.14/109,963.80
  6. Step 6: Final answer
    x = 122,955.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.