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Finding the Fourth Proportional to 282,584.51, 424,022.22 and 156,201.29

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Solution

The fourth proportional to 282,584.51, 424,022.22 and 156,201.29 is: 234,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,584.51 : 424,022.22 = 156,201.29 : x
  2. Step 2: Convert to fraction form
    282,584.51/424,022.22 = 156,201.29/x
  3. Step 3: Cross multiply
    282,584.51x = 424,022.22 × 156,201.29
  4. Step 4: Simplify right side
    282,584.51x = 66,232,815,632.55
  5. Step 5: Solve for x
    x = 66,232,815,632.55/282,584.51
  6. Step 6: Final answer
    x = 234,382.33

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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.