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Finding the Fourth Proportional to 109,461.80, 164,192.70 and 81,813.80

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Solution

The fourth proportional to 109,461.80, 164,192.70 and 81,813.80 is: 122,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,461.80 : 164,192.70 = 81,813.80 : x
  2. Step 2: Convert to fraction form
    109,461.80/164,192.70 = 81,813.80/x
  3. Step 3: Cross multiply
    109,461.80x = 164,192.70 × 81,813.80
  4. Step 4: Simplify right side
    109,461.80x = 13,433,228,719.26
  5. Step 5: Solve for x
    x = 13,433,228,719.26/109,461.80
  6. Step 6: Final answer
    x = 122,720.70

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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.