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Finding the Fourth Proportional to 225,889.05, 338,831.64 and 57,409.86

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Solution

The fourth proportional to 225,889.05, 338,831.64 and 57,409.86 is: 86,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,889.05 : 338,831.64 = 57,409.86 : x
  2. Step 2: Convert to fraction form
    225,889.05/338,831.64 = 57,409.86/x
  3. Step 3: Cross multiply
    225,889.05x = 338,831.64 × 57,409.86
  4. Step 4: Simplify right side
    225,889.05x = 19,452,277,015.97
  5. Step 5: Solve for x
    x = 19,452,277,015.97/225,889.05
  6. Step 6: Final answer
    x = 86,114.30

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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.