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Finding the Fourth Proportional to 262,306.82, 361,970.60 and 149,127.14

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Solution

The fourth proportional to 262,306.82, 361,970.60 and 149,127.14 is: 205,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,306.82 : 361,970.60 = 149,127.14 : x
  2. Step 2: Convert to fraction form
    262,306.82/361,970.60 = 149,127.14/x
  3. Step 3: Cross multiply
    262,306.82x = 361,970.60 × 149,127.14
  4. Step 4: Simplify right side
    262,306.82x = 53,979,640,342.08
  5. Step 5: Solve for x
    x = 53,979,640,342.08/262,306.82
  6. Step 6: Final answer
    x = 205,788.17

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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.