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Finding the Fourth Proportional to 114,612.96, 171,956.79 and 57,657.47

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Solution

The fourth proportional to 114,612.96, 171,956.79 and 57,657.47 is: 86,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,612.96 : 171,956.79 = 57,657.47 : x
  2. Step 2: Convert to fraction form
    114,612.96/171,956.79 = 57,657.47/x
  3. Step 3: Cross multiply
    114,612.96x = 171,956.79 × 57,657.47
  4. Step 4: Simplify right side
    114,612.96x = 9,914,593,460.72
  5. Step 5: Solve for x
    x = 9,914,593,460.72/114,612.96
  6. Step 6: Final answer
    x = 86,504.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.