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Finding the Fourth Proportional to 157,857, 217,857.65 and 86,247.81

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Solution

The fourth proportional to 157,857, 217,857.65 and 86,247.81 is: 119,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857 : 217,857.65 = 86,247.81 : x
  2. Step 2: Convert to fraction form
    157,857/217,857.65 = 86,247.81/x
  3. Step 3: Cross multiply
    157,857x = 217,857.65 × 86,247.81
  4. Step 4: Simplify right side
    157,857x = 18,789,744,773.01
  5. Step 5: Solve for x
    x = 18,789,744,773.01/157,857
  6. Step 6: Final answer
    x = 119,030.17

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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.