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Finding the Fourth Proportional to 109,618.80, 164,428.20 and 81,625.20

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Solution

The fourth proportional to 109,618.80, 164,428.20 and 81,625.20 is: 122,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,618.80 : 164,428.20 = 81,625.20 : x
  2. Step 2: Convert to fraction form
    109,618.80/164,428.20 = 81,625.20/x
  3. Step 3: Cross multiply
    109,618.80x = 164,428.20 × 81,625.20
  4. Step 4: Simplify right side
    109,618.80x = 13,421,484,710.64
  5. Step 5: Solve for x
    x = 13,421,484,710.64/109,618.80
  6. Step 6: Final answer
    x = 122,437.80

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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.