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Finding the Fourth Proportional to 203,959.48, 280,465.86 and 177,054.94

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Solution

The fourth proportional to 203,959.48, 280,465.86 and 177,054.94 is: 243,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,959.48 : 280,465.86 = 177,054.94 : x
  2. Step 2: Convert to fraction form
    203,959.48/280,465.86 = 177,054.94/x
  3. Step 3: Cross multiply
    203,959.48x = 280,465.86 × 177,054.94
  4. Step 4: Simplify right side
    203,959.48x = 49,657,866,014.35
  5. Step 5: Solve for x
    x = 49,657,866,014.35/203,959.48
  6. Step 6: Final answer
    x = 243,469.27

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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.