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Finding the Fourth Proportional to 235,576.50, 324,969.18 and 163,831.86

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Solution

The fourth proportional to 235,576.50, 324,969.18 and 163,831.86 is: 226,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,576.50 : 324,969.18 = 163,831.86 : x
  2. Step 2: Convert to fraction form
    235,576.50/324,969.18 = 163,831.86/x
  3. Step 3: Cross multiply
    235,576.50x = 324,969.18 × 163,831.86
  4. Step 4: Simplify right side
    235,576.50x = 53,240,305,202.07
  5. Step 5: Solve for x
    x = 53,240,305,202.07/235,576.50
  6. Step 6: Final answer
    x = 226,000.07

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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.