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Finding the Fourth Proportional to 109,872.10, 164,808.15 and 64,965.70

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Solution

The fourth proportional to 109,872.10, 164,808.15 and 64,965.70 is: 97,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872.10 : 164,808.15 = 64,965.70 : x
  2. Step 2: Convert to fraction form
    109,872.10/164,808.15 = 64,965.70/x
  3. Step 3: Cross multiply
    109,872.10x = 164,808.15 × 64,965.70
  4. Step 4: Simplify right side
    109,872.10x = 10,706,876,830.46
  5. Step 5: Solve for x
    x = 10,706,876,830.46/109,872.10
  6. Step 6: Final answer
    x = 97,448.55

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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.