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Finding the Fourth Proportional to 157,841.92, 217,818.26 and 86,222.26

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Solution

The fourth proportional to 157,841.92, 217,818.26 and 86,222.26 is: 118,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,841.92 : 217,818.26 = 86,222.26 : x
  2. Step 2: Convert to fraction form
    157,841.92/217,818.26 = 86,222.26/x
  3. Step 3: Cross multiply
    157,841.92x = 217,818.26 × 86,222.26
  4. Step 4: Simplify right side
    157,841.92x = 18,780,782,646.47
  5. Step 5: Solve for x
    x = 18,780,782,646.47/157,841.92
  6. Step 6: Final answer
    x = 118,984.76

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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.