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Finding the Fourth Proportional to 164,186.52, 245,923.37 and 100,814.28

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Solution

The fourth proportional to 164,186.52, 245,923.37 and 100,814.28 is: 151,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,186.52 : 245,923.37 = 100,814.28 : x
  2. Step 2: Convert to fraction form
    164,186.52/245,923.37 = 100,814.28/x
  3. Step 3: Cross multiply
    164,186.52x = 245,923.37 × 100,814.28
  4. Step 4: Simplify right side
    164,186.52x = 24,792,587,481.72
  5. Step 5: Solve for x
    x = 24,792,587,481.72/164,186.52
  6. Step 6: Final answer
    x = 151,002.58

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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.