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Finding the Fourth Proportional to 301,924.91, 416,647.91 and 165,959.12

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Solution

The fourth proportional to 301,924.91, 416,647.91 and 165,959.12 is: 229,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,924.91 : 416,647.91 = 165,959.12 : x
  2. Step 2: Convert to fraction form
    301,924.91/416,647.91 = 165,959.12/x
  3. Step 3: Cross multiply
    301,924.91x = 416,647.91 × 165,959.12
  4. Step 4: Simplify right side
    301,924.91x = 69,146,517,580.40
  5. Step 5: Solve for x
    x = 69,146,517,580.40/301,924.91
  6. Step 6: Final answer
    x = 229,018.93

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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.