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Finding the Fourth Proportional to 157,777.16, 217,724.32 and 86,143.36

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Solution

The fourth proportional to 157,777.16, 217,724.32 and 86,143.36 is: 118,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,777.16 : 217,724.32 = 86,143.36 : x
  2. Step 2: Convert to fraction form
    157,777.16/217,724.32 = 86,143.36/x
  3. Step 3: Cross multiply
    157,777.16x = 217,724.32 × 86,143.36
  4. Step 4: Simplify right side
    157,777.16x = 18,755,504,478.52
  5. Step 5: Solve for x
    x = 18,755,504,478.52/157,777.16
  6. Step 6: Final answer
    x = 118,873.38

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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.