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Finding the Fourth Proportional to 225,451.95, 311,721.85 and 197,076.24

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Solution

The fourth proportional to 225,451.95, 311,721.85 and 197,076.24 is: 272,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,451.95 : 311,721.85 = 197,076.24 : x
  2. Step 2: Convert to fraction form
    225,451.95/311,721.85 = 197,076.24/x
  3. Step 3: Cross multiply
    225,451.95x = 311,721.85 × 197,076.24
  4. Step 4: Simplify right side
    225,451.95x = 61,432,968,565.23
  5. Step 5: Solve for x
    x = 61,432,968,565.23/225,451.95
  6. Step 6: Final answer
    x = 272,488.08

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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.