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Finding the Fourth Proportional to 257,022.64, 385,522.31 and 67,478.54

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Solution

The fourth proportional to 257,022.64, 385,522.31 and 67,478.54 is: 101,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,022.64 : 385,522.31 = 67,478.54 : x
  2. Step 2: Convert to fraction form
    257,022.64/385,522.31 = 67,478.54/x
  3. Step 3: Cross multiply
    257,022.64x = 385,522.31 × 67,478.54
  4. Step 4: Simplify right side
    257,022.64x = 26,014,480,667.53
  5. Step 5: Solve for x
    x = 26,014,480,667.53/257,022.64
  6. Step 6: Final answer
    x = 101,214.75

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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.