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Finding the Fourth Proportional to 157,771.12, 217,733 and 86,157.80

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Solution

The fourth proportional to 157,771.12, 217,733 and 86,157.80 is: 118,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,771.12 : 217,733 = 86,157.80 : x
  2. Step 2: Convert to fraction form
    157,771.12/217,733 = 86,157.80/x
  3. Step 3: Cross multiply
    157,771.12x = 217,733 × 86,157.80
  4. Step 4: Simplify right side
    157,771.12x = 18,759,396,267.40
  5. Step 5: Solve for x
    x = 18,759,396,267.40/157,771.12
  6. Step 6: Final answer
    x = 118,902.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.