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Finding the Fourth Proportional to 172,282.52, 237,771.24 and 96,831.02

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Solution

The fourth proportional to 172,282.52, 237,771.24 and 96,831.02 is: 133,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,282.52 : 237,771.24 = 96,831.02 : x
  2. Step 2: Convert to fraction form
    172,282.52/237,771.24 = 96,831.02/x
  3. Step 3: Cross multiply
    172,282.52x = 237,771.24 × 96,831.02
  4. Step 4: Simplify right side
    172,282.52x = 23,023,631,695.86
  5. Step 5: Solve for x
    x = 23,023,631,695.86/172,282.52
  6. Step 6: Final answer
    x = 133,638.81

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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.