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Finding the Fourth Proportional to 213,488.33, 294,614.19 and 122,842.50

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Solution

The fourth proportional to 213,488.33, 294,614.19 and 122,842.50 is: 169,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,488.33 : 294,614.19 = 122,842.50 : x
  2. Step 2: Convert to fraction form
    213,488.33/294,614.19 = 122,842.50/x
  3. Step 3: Cross multiply
    213,488.33x = 294,614.19 × 122,842.50
  4. Step 4: Simplify right side
    213,488.33x = 36,191,143,013.38
  5. Step 5: Solve for x
    x = 36,191,143,013.38/213,488.33
  6. Step 6: Final answer
    x = 169,522.81

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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.