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Finding the Fourth Proportional to 157,782.88, 217,742.16 and 86,163.76

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Solution

The fourth proportional to 157,782.88, 217,742.16 and 86,163.76 is: 118,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,782.88 : 217,742.16 = 86,163.76 : x
  2. Step 2: Convert to fraction form
    157,782.88/217,742.16 = 86,163.76/x
  3. Step 3: Cross multiply
    157,782.88x = 217,742.16 × 86,163.76
  4. Step 4: Simplify right side
    157,782.88x = 18,761,483,216.12
  5. Step 5: Solve for x
    x = 18,761,483,216.12/157,782.88
  6. Step 6: Final answer
    x = 118,906.96

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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.