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Finding the Fourth Proportional to 164,040, 226,310.40 and 103,588.08

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Solution

The fourth proportional to 164,040, 226,310.40 and 103,588.08 is: 142,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,040 : 226,310.40 = 103,588.08 : x
  2. Step 2: Convert to fraction form
    164,040/226,310.40 = 103,588.08/x
  3. Step 3: Cross multiply
    164,040x = 226,310.40 × 103,588.08
  4. Step 4: Simplify right side
    164,040x = 23,443,059,820.03
  5. Step 5: Solve for x
    x = 23,443,059,820.03/164,040
  6. Step 6: Final answer
    x = 142,910.63

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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.