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Finding the Fourth Proportional to 205,454.78, 308,182.20 and 55,695.08

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Solution

The fourth proportional to 205,454.78, 308,182.20 and 55,695.08 is: 83,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,454.78 : 308,182.20 = 55,695.08 : x
  2. Step 2: Convert to fraction form
    205,454.78/308,182.20 = 55,695.08/x
  3. Step 3: Cross multiply
    205,454.78x = 308,182.20 × 55,695.08
  4. Step 4: Simplify right side
    205,454.78x = 17,164,232,283.58
  5. Step 5: Solve for x
    x = 17,164,232,283.58/205,454.78
  6. Step 6: Final answer
    x = 83,542.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.