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Finding the Fourth Proportional to 157,841.42, 217,817.57 and 86,221.76

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Solution

The fourth proportional to 157,841.42, 217,817.57 and 86,221.76 is: 118,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,841.42 : 217,817.57 = 86,221.76 : x
  2. Step 2: Convert to fraction form
    157,841.42/217,817.57 = 86,221.76/x
  3. Step 3: Cross multiply
    157,841.42x = 217,817.57 × 86,221.76
  4. Step 4: Simplify right side
    157,841.42x = 18,780,613,155.24
  5. Step 5: Solve for x
    x = 18,780,613,155.24/157,841.42
  6. Step 6: Final answer
    x = 118,984.06

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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.