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Finding the Fourth Proportional to 157,806.96, 217,765.14 and 86,173.02

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Solution

The fourth proportional to 157,806.96, 217,765.14 and 86,173.02 is: 118,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,806.96 : 217,765.14 = 86,173.02 : x
  2. Step 2: Convert to fraction form
    157,806.96/217,765.14 = 86,173.02/x
  3. Step 3: Cross multiply
    157,806.96x = 217,765.14 × 86,173.02
  4. Step 4: Simplify right side
    157,806.96x = 18,765,479,764.52
  5. Step 5: Solve for x
    x = 18,765,479,764.52/157,806.96
  6. Step 6: Final answer
    x = 118,914.15

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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.