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Finding the Fourth Proportional to 262,053.63, 361,633.88 and 148,876.38

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Solution

The fourth proportional to 262,053.63, 361,633.88 and 148,876.38 is: 205,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,053.63 : 361,633.88 = 148,876.38 : x
  2. Step 2: Convert to fraction form
    262,053.63/361,633.88 = 148,876.38/x
  3. Step 3: Cross multiply
    262,053.63x = 361,633.88 × 148,876.38
  4. Step 4: Simplify right side
    262,053.63x = 53,838,743,311.95
  5. Step 5: Solve for x
    x = 53,838,743,311.95/262,053.63
  6. Step 6: Final answer
    x = 205,449.33

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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.