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Finding the Fourth Proportional to 217,114.32, 299,616.12 and 121,621.80

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Solution

The fourth proportional to 217,114.32, 299,616.12 and 121,621.80 is: 167,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,114.32 : 299,616.12 = 121,621.80 : x
  2. Step 2: Convert to fraction form
    217,114.32/299,616.12 = 121,621.80/x
  3. Step 3: Cross multiply
    217,114.32x = 299,616.12 × 121,621.80
  4. Step 4: Simplify right side
    217,114.32x = 36,439,851,823.42
  5. Step 5: Solve for x
    x = 36,439,851,823.42/217,114.32
  6. Step 6: Final answer
    x = 167,837.16

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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.