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Finding the Fourth Proportional to 109,954.08, 164,718.84 and 65,616.30

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Solution

The fourth proportional to 109,954.08, 164,718.84 and 65,616.30 is: 98,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,954.08 : 164,718.84 = 65,616.30 : x
  2. Step 2: Convert to fraction form
    109,954.08/164,718.84 = 65,616.30/x
  3. Step 3: Cross multiply
    109,954.08x = 164,718.84 × 65,616.30
  4. Step 4: Simplify right side
    109,954.08x = 10,808,240,821.09
  5. Step 5: Solve for x
    x = 10,808,240,821.09/109,954.08
  6. Step 6: Final answer
    x = 98,297.77

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1.5x scale

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.