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Finding the Fourth Proportional to 289,151.55, 399,029.09 and 161,827.14

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Solution

The fourth proportional to 289,151.55, 399,029.09 and 161,827.14 is: 223,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,151.55 : 399,029.09 = 161,827.14 : x
  2. Step 2: Convert to fraction form
    289,151.55/399,029.09 = 161,827.14/x
  3. Step 3: Cross multiply
    289,151.55x = 399,029.09 × 161,827.14
  4. Step 4: Simplify right side
    289,151.55x = 64,573,735,976.46
  5. Step 5: Solve for x
    x = 64,573,735,976.46/289,151.55
  6. Step 6: Final answer
    x = 223,321.43

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1.5x scale

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.