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Finding the Fourth Proportional to 289,162.94, 399,044.80 and 161,838.53

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Solution

The fourth proportional to 289,162.94, 399,044.80 and 161,838.53 is: 223,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.94 : 399,044.80 = 161,838.53 : x
  2. Step 2: Convert to fraction form
    289,162.94/399,044.80 = 161,838.53/x
  3. Step 3: Cross multiply
    289,162.94x = 399,044.80 × 161,838.53
  4. Step 4: Simplify right side
    289,162.94x = 64,580,825,117.12
  5. Step 5: Solve for x
    x = 64,580,825,117.12/289,162.94
  6. Step 6: Final answer
    x = 223,337.15

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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.