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Finding the Fourth Proportional to 164,370.50, 226,831.56 and 88,919

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Solution

The fourth proportional to 164,370.50, 226,831.56 and 88,919 is: 122,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,370.50 : 226,831.56 = 88,919 : x
  2. Step 2: Convert to fraction form
    164,370.50/226,831.56 = 88,919/x
  3. Step 3: Cross multiply
    164,370.50x = 226,831.56 × 88,919
  4. Step 4: Simplify right side
    164,370.50x = 20,169,635,483.64
  5. Step 5: Solve for x
    x = 20,169,635,483.64/164,370.50
  6. Step 6: Final answer
    x = 122,708.37

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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.