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Finding the Fourth Proportional to 157,812.45, 217,777.71 and 86,192.76

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Solution

The fourth proportional to 157,812.45, 217,777.71 and 86,192.76 is: 118,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,812.45 : 217,777.71 = 86,192.76 : x
  2. Step 2: Convert to fraction form
    157,812.45/217,777.71 = 86,192.76/x
  3. Step 3: Cross multiply
    157,812.45x = 217,777.71 × 86,192.76
  4. Step 4: Simplify right side
    157,812.45x = 18,770,861,891.38
  5. Step 5: Solve for x
    x = 18,770,861,891.38/157,812.45
  6. Step 6: Final answer
    x = 118,944.11

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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.