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Finding the Fourth Proportional to 263,831.52, 364,105.56 and 149,070.48

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Solution

The fourth proportional to 263,831.52, 364,105.56 and 149,070.48 is: 205,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,831.52 : 364,105.56 = 149,070.48 : x
  2. Step 2: Convert to fraction form
    263,831.52/364,105.56 = 149,070.48/x
  3. Step 3: Cross multiply
    263,831.52x = 364,105.56 × 149,070.48
  4. Step 4: Simplify right side
    263,831.52x = 54,277,390,599.87
  5. Step 5: Solve for x
    x = 54,277,390,599.87/263,831.52
  6. Step 6: Final answer
    x = 205,727.47

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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.