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Finding the Fourth Proportional to 293,187.68, 404,564.87 and 164,133.22

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Solution

The fourth proportional to 293,187.68, 404,564.87 and 164,133.22 is: 226,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,187.68 : 404,564.87 = 164,133.22 : x
  2. Step 2: Convert to fraction form
    293,187.68/404,564.87 = 164,133.22/x
  3. Step 3: Cross multiply
    293,187.68x = 404,564.87 × 164,133.22
  4. Step 4: Simplify right side
    293,187.68x = 66,402,533,991.32
  5. Step 5: Solve for x
    x = 66,402,533,991.32/293,187.68
  6. Step 6: Final answer
    x = 226,484.73

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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.