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Finding the Fourth Proportional to 213,133.38, 294,133.86 and 122,518.68

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Solution

The fourth proportional to 213,133.38, 294,133.86 and 122,518.68 is: 169,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,133.38 : 294,133.86 = 122,518.68 : x
  2. Step 2: Convert to fraction form
    213,133.38/294,133.86 = 122,518.68/x
  3. Step 3: Cross multiply
    213,133.38x = 294,133.86 × 122,518.68
  4. Step 4: Simplify right side
    213,133.38x = 36,036,892,270.50
  5. Step 5: Solve for x
    x = 36,036,892,270.50/213,133.38
  6. Step 6: Final answer
    x = 169,081.41

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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.