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Finding the Fourth Proportional to 157,856.88, 217,842.72 and 86,238.12

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Solution

The fourth proportional to 157,856.88, 217,842.72 and 86,238.12 is: 119,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,856.88 : 217,842.72 = 86,238.12 : x
  2. Step 2: Convert to fraction form
    157,856.88/217,842.72 = 86,238.12/x
  3. Step 3: Cross multiply
    157,856.88x = 217,842.72 × 86,238.12
  4. Step 4: Simplify right side
    157,856.88x = 18,786,346,628.49
  5. Step 5: Solve for x
    x = 18,786,346,628.49/157,856.88
  6. Step 6: Final answer
    x = 119,008.73

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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.