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Finding the Fourth Proportional to 301,959.30, 416,658.18 and 165,999

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Solution

The fourth proportional to 301,959.30, 416,658.18 and 165,999 is: 229,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,959.30 : 416,658.18 = 165,999 : x
  2. Step 2: Convert to fraction form
    301,959.30/416,658.18 = 165,999/x
  3. Step 3: Cross multiply
    301,959.30x = 416,658.18 × 165,999
  4. Step 4: Simplify right side
    301,959.30x = 69,164,841,221.82
  5. Step 5: Solve for x
    x = 69,164,841,221.82/301,959.30
  6. Step 6: Final answer
    x = 229,053.52

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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.