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Finding the Fourth Proportional to 145,016.96, 217,439.04 and 50,216

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Solution

The fourth proportional to 145,016.96, 217,439.04 and 50,216 is: 75,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,016.96 : 217,439.04 = 50,216 : x
  2. Step 2: Convert to fraction form
    145,016.96/217,439.04 = 50,216/x
  3. Step 3: Cross multiply
    145,016.96x = 217,439.04 × 50,216
  4. Step 4: Simplify right side
    145,016.96x = 10,918,918,832.64
  5. Step 5: Solve for x
    x = 10,918,918,832.64/145,016.96
  6. Step 6: Final answer
    x = 75,294.08

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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.