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Finding the Fourth Proportional to 157,811.71, 217,776.79 and 86,192.02

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Solution

The fourth proportional to 157,811.71, 217,776.79 and 86,192.02 is: 118,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,811.71 : 217,776.79 = 86,192.02 : x
  2. Step 2: Convert to fraction form
    157,811.71/217,776.79 = 86,192.02/x
  3. Step 3: Cross multiply
    157,811.71x = 217,776.79 × 86,192.02
  4. Step 4: Simplify right side
    157,811.71x = 18,770,620,679.29
  5. Step 5: Solve for x
    x = 18,770,620,679.29/157,811.71
  6. Step 6: Final answer
    x = 118,943.14

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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.