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Finding the Fourth Proportional to 114,359.96, 171,470.47 and 51,168.31

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Solution

The fourth proportional to 114,359.96, 171,470.47 and 51,168.31 is: 76,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,359.96 : 171,470.47 = 51,168.31 : x
  2. Step 2: Convert to fraction form
    114,359.96/171,470.47 = 51,168.31/x
  3. Step 3: Cross multiply
    114,359.96x = 171,470.47 × 51,168.31
  4. Step 4: Simplify right side
    114,359.96x = 8,773,854,164.81
  5. Step 5: Solve for x
    x = 8,773,854,164.81/114,359.96
  6. Step 6: Final answer
    x = 76,721.38

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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.