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Finding the Fourth Proportional to 282,013.74, 422,922.06 and 113,490.33

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Solution

The fourth proportional to 282,013.74, 422,922.06 and 113,490.33 is: 170,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,013.74 : 422,922.06 = 113,490.33 : x
  2. Step 2: Convert to fraction form
    282,013.74/422,922.06 = 113,490.33/x
  3. Step 3: Cross multiply
    282,013.74x = 422,922.06 × 113,490.33
  4. Step 4: Simplify right side
    282,013.74x = 47,997,564,153.68
  5. Step 5: Solve for x
    x = 47,997,564,153.68/282,013.74
  6. Step 6: Final answer
    x = 170,195.84

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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.