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Finding the Fourth Proportional to 226,580.22, 312,655.68 and 135,940.14

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Solution

The fourth proportional to 226,580.22, 312,655.68 and 135,940.14 is: 187,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,580.22 : 312,655.68 = 135,940.14 : x
  2. Step 2: Convert to fraction form
    226,580.22/312,655.68 = 135,940.14/x
  3. Step 3: Cross multiply
    226,580.22x = 312,655.68 × 135,940.14
  4. Step 4: Simplify right side
    226,580.22x = 42,502,456,911.00
  5. Step 5: Solve for x
    x = 42,502,456,911.00/226,580.22
  6. Step 6: Final answer
    x = 187,582.38

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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.