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Finding the Fourth Proportional to 157,843.98, 217,816.57 and 86,210.16

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Solution

The fourth proportional to 157,843.98, 217,816.57 and 86,210.16 is: 118,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,843.98 : 217,816.57 = 86,210.16 : x
  2. Step 2: Convert to fraction form
    157,843.98/217,816.57 = 86,210.16/x
  3. Step 3: Cross multiply
    157,843.98x = 217,816.57 × 86,210.16
  4. Step 4: Simplify right side
    157,843.98x = 18,778,001,458.11
  5. Step 5: Solve for x
    x = 18,778,001,458.11/157,843.98
  6. Step 6: Final answer
    x = 118,965.59

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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.