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Finding the Fourth Proportional to 289,186.98, 399,077.97 and 161,862.60

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Solution

The fourth proportional to 289,186.98, 399,077.97 and 161,862.60 is: 223,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,186.98 : 399,077.97 = 161,862.60 : x
  2. Step 2: Convert to fraction form
    289,186.98/399,077.97 = 161,862.60/x
  3. Step 3: Cross multiply
    289,186.98x = 399,077.97 × 161,862.60
  4. Step 4: Simplify right side
    289,186.98x = 64,595,797,826.92
  5. Step 5: Solve for x
    x = 64,595,797,826.92/289,186.98
  6. Step 6: Final answer
    x = 223,370.35

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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.