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Finding the Fourth Proportional to 114,190.68, 171,182.34 and 64,839

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Solution

The fourth proportional to 114,190.68, 171,182.34 and 64,839 is: 97,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,190.68 : 171,182.34 = 64,839 : x
  2. Step 2: Convert to fraction form
    114,190.68/171,182.34 = 64,839/x
  3. Step 3: Cross multiply
    114,190.68x = 171,182.34 × 64,839
  4. Step 4: Simplify right side
    114,190.68x = 11,099,291,743.26
  5. Step 5: Solve for x
    x = 11,099,291,743.26/114,190.68
  6. Step 6: Final answer
    x = 97,199.63

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