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Finding the Fourth Proportional to 109,647.70, 164,179.95 and 69,990.10

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Solution

The fourth proportional to 109,647.70, 164,179.95 and 69,990.10 is: 104,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,647.70 : 164,179.95 = 69,990.10 : x
  2. Step 2: Convert to fraction form
    109,647.70/164,179.95 = 69,990.10/x
  3. Step 3: Cross multiply
    109,647.70x = 164,179.95 × 69,990.10
  4. Step 4: Simplify right side
    109,647.70x = 11,490,971,118.50
  5. Step 5: Solve for x
    x = 11,490,971,118.50/109,647.70
  6. Step 6: Final answer
    x = 104,799.02

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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.