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Finding the Fourth Proportional to 164,396, 226,866.48 and 88,944.50

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Solution

The fourth proportional to 164,396, 226,866.48 and 88,944.50 is: 122,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,396 : 226,866.48 = 88,944.50 : x
  2. Step 2: Convert to fraction form
    164,396/226,866.48 = 88,944.50/x
  3. Step 3: Cross multiply
    164,396x = 226,866.48 × 88,944.50
  4. Step 4: Simplify right side
    164,396x = 20,178,525,630.36
  5. Step 5: Solve for x
    x = 20,178,525,630.36/164,396
  6. Step 6: Final answer
    x = 122,743.41

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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.