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Finding the Fourth Proportional to 220,582.95, 304,392.09 and 123,777.78

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Solution

The fourth proportional to 220,582.95, 304,392.09 and 123,777.78 is: 170,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,582.95 : 304,392.09 = 123,777.78 : x
  2. Step 2: Convert to fraction form
    220,582.95/304,392.09 = 123,777.78/x
  3. Step 3: Cross multiply
    220,582.95x = 304,392.09 × 123,777.78
  4. Step 4: Simplify right side
    220,582.95x = 37,676,977,149.76
  5. Step 5: Solve for x
    x = 37,676,977,149.76/220,582.95
  6. Step 6: Final answer
    x = 170,806.39

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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.