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Finding the Fourth Proportional to 234,953.64, 352,490.58 and 77,183.46

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Solution

The fourth proportional to 234,953.64, 352,490.58 and 77,183.46 is: 115,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,953.64 : 352,490.58 = 77,183.46 : x
  2. Step 2: Convert to fraction form
    234,953.64/352,490.58 = 77,183.46/x
  3. Step 3: Cross multiply
    234,953.64x = 352,490.58 × 77,183.46
  4. Step 4: Simplify right side
    234,953.64x = 27,206,442,581.81
  5. Step 5: Solve for x
    x = 27,206,442,581.81/234,953.64
  6. Step 6: Final answer
    x = 115,794.94

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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.