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Finding the Fourth Proportional to 199,774.74, 299,673.63 and 75,116.82

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Solution

The fourth proportional to 199,774.74, 299,673.63 and 75,116.82 is: 112,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,774.74 : 299,673.63 = 75,116.82 : x
  2. Step 2: Convert to fraction form
    199,774.74/299,673.63 = 75,116.82/x
  3. Step 3: Cross multiply
    199,774.74x = 299,673.63 × 75,116.82
  4. Step 4: Simplify right side
    199,774.74x = 22,510,530,123.46
  5. Step 5: Solve for x
    x = 22,510,530,123.46/199,774.74
  6. Step 6: Final answer
    x = 112,679.56

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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.