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Finding the Fourth Proportional to 213,144.28, 294,139.12 and 117,651

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Solution

The fourth proportional to 213,144.28, 294,139.12 and 117,651 is: 162,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,144.28 : 294,139.12 = 117,651 : x
  2. Step 2: Convert to fraction form
    213,144.28/294,139.12 = 117,651/x
  3. Step 3: Cross multiply
    213,144.28x = 294,139.12 × 117,651
  4. Step 4: Simplify right side
    213,144.28x = 34,605,761,607.12
  5. Step 5: Solve for x
    x = 34,605,761,607.12/213,144.28
  6. Step 6: Final answer
    x = 162,358.39

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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.