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Finding the Fourth Proportional to 157,856.54, 217,838.46 and 86,236.88

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Solution

The fourth proportional to 157,856.54, 217,838.46 and 86,236.88 is: 119,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,856.54 : 217,838.46 = 86,236.88 : x
  2. Step 2: Convert to fraction form
    157,856.54/217,838.46 = 86,236.88/x
  3. Step 3: Cross multiply
    157,856.54x = 217,838.46 × 86,236.88
  4. Step 4: Simplify right side
    157,856.54x = 18,785,709,134.40
  5. Step 5: Solve for x
    x = 18,785,709,134.40/157,856.54
  6. Step 6: Final answer
    x = 119,004.95

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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.