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Finding the Fourth Proportional to 289,162.64, 399,044.40 and 161,838.23

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Solution

The fourth proportional to 289,162.64, 399,044.40 and 161,838.23 is: 223,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.64 : 399,044.40 = 161,838.23 : x
  2. Step 2: Convert to fraction form
    289,162.64/399,044.40 = 161,838.23/x
  3. Step 3: Cross multiply
    289,162.64x = 399,044.40 × 161,838.23
  4. Step 4: Simplify right side
    289,162.64x = 64,580,639,387.41
  5. Step 5: Solve for x
    x = 64,580,639,387.41/289,162.64
  6. Step 6: Final answer
    x = 223,336.73

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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.