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Finding the Fourth Proportional to 157,857.88, 217,844.10 and 86,239.12

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Solution

The fourth proportional to 157,857.88, 217,844.10 and 86,239.12 is: 119,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857.88 : 217,844.10 = 86,239.12 : x
  2. Step 2: Convert to fraction form
    157,857.88/217,844.10 = 86,239.12/x
  3. Step 3: Cross multiply
    157,857.88x = 217,844.10 × 86,239.12
  4. Step 4: Simplify right side
    157,857.88x = 18,786,683,481.19
  5. Step 5: Solve for x
    x = 18,786,683,481.19/157,857.88
  6. Step 6: Final answer
    x = 119,010.11

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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.