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Finding the Fourth Proportional to 157,857.66, 217,844.34 and 86,238.88

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Solution

The fourth proportional to 157,857.66, 217,844.34 and 86,238.88 is: 119,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857.66 : 217,844.34 = 86,238.88 : x
  2. Step 2: Convert to fraction form
    157,857.66/217,844.34 = 86,238.88/x
  3. Step 3: Cross multiply
    157,857.66x = 217,844.34 × 86,238.88
  4. Step 4: Simplify right side
    157,857.66x = 18,786,651,027.93
  5. Step 5: Solve for x
    x = 18,786,651,027.93/157,857.66
  6. Step 6: Final answer
    x = 119,010.07

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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.