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Finding the Fourth Proportional to 182,125.44, 251,357.76 and 106,704

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Solution

The fourth proportional to 182,125.44, 251,357.76 and 106,704 is: 147,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,125.44 : 251,357.76 = 106,704 : x
  2. Step 2: Convert to fraction form
    182,125.44/251,357.76 = 106,704/x
  3. Step 3: Cross multiply
    182,125.44x = 251,357.76 × 106,704
  4. Step 4: Simplify right side
    182,125.44x = 26,820,878,423.04
  5. Step 5: Solve for x
    x = 26,820,878,423.04/182,125.44
  6. Step 6: Final answer
    x = 147,265.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.