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Finding the Fourth Proportional to 312,076.82, 468,128.19 and 101,716.58

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Solution

The fourth proportional to 312,076.82, 468,128.19 and 101,716.58 is: 152,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.82 : 468,128.19 = 101,716.58 : x
  2. Step 2: Convert to fraction form
    312,076.82/468,128.19 = 101,716.58/x
  3. Step 3: Cross multiply
    312,076.82x = 468,128.19 × 101,716.58
  4. Step 4: Simplify right side
    312,076.82x = 47,616,398,488.39
  5. Step 5: Solve for x
    x = 47,616,398,488.39/312,076.82
  6. Step 6: Final answer
    x = 152,579.09

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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.