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Finding the Fourth Proportional to 214,422.75, 295,709.72 and 133,857.72

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Solution

The fourth proportional to 214,422.75, 295,709.72 and 133,857.72 is: 184,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,422.75 : 295,709.72 = 133,857.72 : x
  2. Step 2: Convert to fraction form
    214,422.75/295,709.72 = 133,857.72/x
  3. Step 3: Cross multiply
    214,422.75x = 295,709.72 × 133,857.72
  4. Step 4: Simplify right side
    214,422.75x = 39,583,028,231.75
  5. Step 5: Solve for x
    x = 39,583,028,231.75/214,422.75
  6. Step 6: Final answer
    x = 184,602.74

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1.5x scale

Why These Related Problems?

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