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Finding the Fourth Proportional to 132,533.66, 198,831.22 and 69,388.12

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Solution

The fourth proportional to 132,533.66, 198,831.22 and 69,388.12 is: 104,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,533.66 : 198,831.22 = 69,388.12 : x
  2. Step 2: Convert to fraction form
    132,533.66/198,831.22 = 69,388.12/x
  3. Step 3: Cross multiply
    132,533.66x = 198,831.22 × 69,388.12
  4. Step 4: Simplify right side
    132,533.66x = 13,796,523,882.56
  5. Step 5: Solve for x
    x = 13,796,523,882.56/132,533.66
  6. Step 6: Final answer
    x = 104,098.26

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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.