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Finding the Fourth Proportional to 164,003.88, 226,239.14 and 103,552.68

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Solution

The fourth proportional to 164,003.88, 226,239.14 and 103,552.68 is: 142,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,003.88 : 226,239.14 = 103,552.68 : x
  2. Step 2: Convert to fraction form
    164,003.88/226,239.14 = 103,552.68/x
  3. Step 3: Cross multiply
    164,003.88x = 226,239.14 × 103,552.68
  4. Step 4: Simplify right side
    164,003.88x = 23,427,669,267.90
  5. Step 5: Solve for x
    x = 23,427,669,267.90/164,003.88
  6. Step 6: Final answer
    x = 142,848.26

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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.