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Finding the Fourth Proportional to 114,508.68, 171,764.12 and 43,412.20

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Solution

The fourth proportional to 114,508.68, 171,764.12 and 43,412.20 is: 65,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,508.68 : 171,764.12 = 43,412.20 : x
  2. Step 2: Convert to fraction form
    114,508.68/171,764.12 = 43,412.20/x
  3. Step 3: Cross multiply
    114,508.68x = 171,764.12 × 43,412.20
  4. Step 4: Simplify right side
    114,508.68x = 7,456,658,009.38
  5. Step 5: Solve for x
    x = 7,456,658,009.38/114,508.68
  6. Step 6: Final answer
    x = 65,118.71

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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.