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Finding the Fourth Proportional to 234,644.64, 352,032.57 and 76,983.81

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Solution

The fourth proportional to 234,644.64, 352,032.57 and 76,983.81 is: 115,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,644.64 : 352,032.57 = 76,983.81 : x
  2. Step 2: Convert to fraction form
    234,644.64/352,032.57 = 76,983.81/x
  3. Step 3: Cross multiply
    234,644.64x = 352,032.57 × 76,983.81
  4. Step 4: Simplify right side
    234,644.64x = 27,100,808,482.69
  5. Step 5: Solve for x
    x = 27,100,808,482.69/234,644.64
  6. Step 6: Final answer
    x = 115,497.24

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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.