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Finding the Fourth Proportional to 293,101.40, 404,437.38 and 164,039.24

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Solution

The fourth proportional to 293,101.40, 404,437.38 and 164,039.24 is: 226,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,101.40 : 404,437.38 = 164,039.24 : x
  2. Step 2: Convert to fraction form
    293,101.40/404,437.38 = 164,039.24/x
  3. Step 3: Cross multiply
    293,101.40x = 404,437.38 × 164,039.24
  4. Step 4: Simplify right side
    293,101.40x = 66,343,600,442.79
  5. Step 5: Solve for x
    x = 66,343,600,442.79/293,101.40
  6. Step 6: Final answer
    x = 226,350.34

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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.