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Finding the Fourth Proportional to 164,963, 227,835.44 and 111,154.68

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Solution

The fourth proportional to 164,963, 227,835.44 and 111,154.68 is: 153,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,963 : 227,835.44 = 111,154.68 : x
  2. Step 2: Convert to fraction form
    164,963/227,835.44 = 111,154.68/x
  3. Step 3: Cross multiply
    164,963x = 227,835.44 × 111,154.68
  4. Step 4: Simplify right side
    164,963x = 25,324,975,425.86
  5. Step 5: Solve for x
    x = 25,324,975,425.86/164,963
  6. Step 6: Final answer
    x = 153,519.13

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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.