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Finding the Fourth Proportional to 182,865.60, 252,377.76 and 102,297.60

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Solution

The fourth proportional to 182,865.60, 252,377.76 and 102,297.60 is: 141,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,865.60 : 252,377.76 = 102,297.60 : x
  2. Step 2: Convert to fraction form
    182,865.60/252,377.76 = 102,297.60/x
  3. Step 3: Cross multiply
    182,865.60x = 252,377.76 × 102,297.60
  4. Step 4: Simplify right side
    182,865.60x = 25,817,639,141.38
  5. Step 5: Solve for x
    x = 25,817,639,141.38/182,865.60
  6. Step 6: Final answer
    x = 141,183.68

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Why These Related Problems?

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