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Finding the Fourth Proportional to 293,393.16, 404,883 and 159,257.16

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Solution

The fourth proportional to 293,393.16, 404,883 and 159,257.16 is: 219,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,393.16 : 404,883 = 159,257.16 : x
  2. Step 2: Convert to fraction form
    293,393.16/404,883 = 159,257.16/x
  3. Step 3: Cross multiply
    293,393.16x = 404,883 × 159,257.16
  4. Step 4: Simplify right side
    293,393.16x = 64,480,516,712.28
  5. Step 5: Solve for x
    x = 64,480,516,712.28/293,393.16
  6. Step 6: Final answer
    x = 219,775.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.