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Finding the Fourth Proportional to 223,326.30, 334,792.46 and 82,986.50

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Solution

The fourth proportional to 223,326.30, 334,792.46 and 82,986.50 is: 124,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,326.30 : 334,792.46 = 82,986.50 : x
  2. Step 2: Convert to fraction form
    223,326.30/334,792.46 = 82,986.50/x
  3. Step 3: Cross multiply
    223,326.30x = 334,792.46 × 82,986.50
  4. Step 4: Simplify right side
    223,326.30x = 27,783,254,481.79
  5. Step 5: Solve for x
    x = 27,783,254,481.79/223,326.30
  6. Step 6: Final answer
    x = 124,406.55

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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.