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Finding the Fourth Proportional to 223,920.34, 335,868.99 and 83,667.94

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Solution

The fourth proportional to 223,920.34, 335,868.99 and 83,667.94 is: 125,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,920.34 : 335,868.99 = 83,667.94 : x
  2. Step 2: Convert to fraction form
    223,920.34/335,868.99 = 83,667.94/x
  3. Step 3: Cross multiply
    223,920.34x = 335,868.99 × 83,667.94
  4. Step 4: Simplify right side
    223,920.34x = 28,101,466,503.18
  5. Step 5: Solve for x
    x = 28,101,466,503.18/223,920.34
  6. Step 6: Final answer
    x = 125,497.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.