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Finding the Fourth Proportional to 268,053.84, 369,922.92 and 154,876.56

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Solution

The fourth proportional to 268,053.84, 369,922.92 and 154,876.56 is: 213,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,053.84 : 369,922.92 = 154,876.56 : x
  2. Step 2: Convert to fraction form
    268,053.84/369,922.92 = 154,876.56/x
  3. Step 3: Cross multiply
    268,053.84x = 369,922.92 × 154,876.56
  4. Step 4: Simplify right side
    268,053.84x = 57,292,389,314.76
  5. Step 5: Solve for x
    x = 57,292,389,314.76/268,053.84
  6. Step 6: Final answer
    x = 213,734.63

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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.