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Finding the Fourth Proportional to 231,900.48, 347,831.28 and 157,498.74

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Solution

The fourth proportional to 231,900.48, 347,831.28 and 157,498.74 is: 236,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,900.48 : 347,831.28 = 157,498.74 : x
  2. Step 2: Convert to fraction form
    231,900.48/347,831.28 = 157,498.74/x
  3. Step 3: Cross multiply
    231,900.48x = 347,831.28 × 157,498.74
  4. Step 4: Simplify right side
    231,900.48x = 54,782,988,332.59
  5. Step 5: Solve for x
    x = 54,782,988,332.59/231,900.48
  6. Step 6: Final answer
    x = 236,234.91

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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.