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Finding the Fourth Proportional to 114,106.68, 171,181.46 and 51,781.56

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Solution

The fourth proportional to 114,106.68, 171,181.46 and 51,781.56 is: 77,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,106.68 : 171,181.46 = 51,781.56 : x
  2. Step 2: Convert to fraction form
    114,106.68/171,181.46 = 51,781.56/x
  3. Step 3: Cross multiply
    114,106.68x = 171,181.46 × 51,781.56
  4. Step 4: Simplify right side
    114,106.68x = 8,864,043,041.88
  5. Step 5: Solve for x
    x = 8,864,043,041.88/114,106.68
  6. Step 6: Final answer
    x = 77,682.07

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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.