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Finding the Fourth Proportional to 204,470.34, 306,733.46 and 71,330.64

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Solution

The fourth proportional to 204,470.34, 306,733.46 and 71,330.64 is: 107,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,470.34 : 306,733.46 = 71,330.64 : x
  2. Step 2: Convert to fraction form
    204,470.34/306,733.46 = 71,330.64/x
  3. Step 3: Cross multiply
    204,470.34x = 306,733.46 × 71,330.64
  4. Step 4: Simplify right side
    204,470.34x = 21,879,495,339.79
  5. Step 5: Solve for x
    x = 21,879,495,339.79/204,470.34
  6. Step 6: Final answer
    x = 107,005.72

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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.