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Finding the Fourth Proportional to 171,156.56, 256,795.64 and 76,378.12

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Solution

The fourth proportional to 171,156.56, 256,795.64 and 76,378.12 is: 114,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,156.56 : 256,795.64 = 76,378.12 : x
  2. Step 2: Convert to fraction form
    171,156.56/256,795.64 = 76,378.12/x
  3. Step 3: Cross multiply
    171,156.56x = 256,795.64 × 76,378.12
  4. Step 4: Simplify right side
    171,156.56x = 19,613,568,207.40
  5. Step 5: Solve for x
    x = 19,613,568,207.40/171,156.56
  6. Step 6: Final answer
    x = 114,594.31

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1.5x scale

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.