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Finding the Fourth Proportional to 293,157.67, 404,564.43 and 164,092.93

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Solution

The fourth proportional to 293,157.67, 404,564.43 and 164,092.93 is: 226,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,157.67 : 404,564.43 = 164,092.93 : x
  2. Step 2: Convert to fraction form
    293,157.67/404,564.43 = 164,092.93/x
  3. Step 3: Cross multiply
    293,157.67x = 404,564.43 × 164,092.93
  4. Step 4: Simplify right side
    293,157.67x = 66,386,164,572.09
  5. Step 5: Solve for x
    x = 66,386,164,572.09/293,157.67
  6. Step 6: Final answer
    x = 226,452.08

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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.