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Finding the Fourth Proportional to 215,169.53, 322,742.61 and 65,398.14

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Solution

The fourth proportional to 215,169.53, 322,742.61 and 65,398.14 is: 98,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,169.53 : 322,742.61 = 65,398.14 : x
  2. Step 2: Convert to fraction form
    215,169.53/322,742.61 = 65,398.14/x
  3. Step 3: Cross multiply
    215,169.53x = 322,742.61 × 65,398.14
  4. Step 4: Simplify right side
    215,169.53x = 21,106,765,258.90
  5. Step 5: Solve for x
    x = 21,106,765,258.90/215,169.53
  6. Step 6: Final answer
    x = 98,093.66

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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.