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Finding the Fourth Proportional to 217,185.36, 299,728.08 and 121,722.84

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Solution

The fourth proportional to 217,185.36, 299,728.08 and 121,722.84 is: 167,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,185.36 : 299,728.08 = 121,722.84 : x
  2. Step 2: Convert to fraction form
    217,185.36/299,728.08 = 121,722.84/x
  3. Step 3: Cross multiply
    217,185.36x = 299,728.08 × 121,722.84
  4. Step 4: Simplify right side
    217,185.36x = 36,483,753,125.35
  5. Step 5: Solve for x
    x = 36,483,753,125.35/217,185.36
  6. Step 6: Final answer
    x = 167,984.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.