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Finding the Fourth Proportional to 282,531, 389,881.26 and 167,826.36

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Solution

The fourth proportional to 282,531, 389,881.26 and 167,826.36 is: 231,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,531 : 389,881.26 = 167,826.36 : x
  2. Step 2: Convert to fraction form
    282,531/389,881.26 = 167,826.36/x
  3. Step 3: Cross multiply
    282,531x = 389,881.26 × 167,826.36
  4. Step 4: Simplify right side
    282,531x = 65,432,352,698.01
  5. Step 5: Solve for x
    x = 65,432,352,698.01/282,531
  6. Step 6: Final answer
    x = 231,593.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.