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Finding the Fourth Proportional to 213,139.38, 294,142.14 and 122,524.68

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Solution

The fourth proportional to 213,139.38, 294,142.14 and 122,524.68 is: 169,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,139.38 : 294,142.14 = 122,524.68 : x
  2. Step 2: Convert to fraction form
    213,139.38/294,142.14 = 122,524.68/x
  3. Step 3: Cross multiply
    213,139.38x = 294,142.14 × 122,524.68
  4. Step 4: Simplify right side
    213,139.38x = 36,039,671,578.02
  5. Step 5: Solve for x
    x = 36,039,671,578.02/213,139.38
  6. Step 6: Final answer
    x = 169,089.69

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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.