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Finding the Fourth Proportional to 235,708.52, 353,096.22 and 206,159.72

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Solution

The fourth proportional to 235,708.52, 353,096.22 and 206,159.72 is: 308,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,708.52 : 353,096.22 = 206,159.72 : x
  2. Step 2: Convert to fraction form
    235,708.52/353,096.22 = 206,159.72/x
  3. Step 3: Cross multiply
    235,708.52x = 353,096.22 × 206,159.72
  4. Step 4: Simplify right side
    235,708.52x = 72,794,217,848.26
  5. Step 5: Solve for x
    x = 72,794,217,848.26/235,708.52
  6. Step 6: Final answer
    x = 308,831.51

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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.