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Finding the Fourth Proportional to 157,816, 217,786.07 and 86,196.19

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Solution

The fourth proportional to 157,816, 217,786.07 and 86,196.19 is: 118,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,816 : 217,786.07 = 86,196.19 : x
  2. Step 2: Convert to fraction form
    157,816/217,786.07 = 86,196.19/x
  3. Step 3: Cross multiply
    157,816x = 217,786.07 × 86,196.19
  4. Step 4: Simplify right side
    157,816x = 18,772,329,469.07
  5. Step 5: Solve for x
    x = 18,772,329,469.07/157,816
  6. Step 6: Final answer
    x = 118,950.74

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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.