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Finding the Fourth Proportional to 299,913.83, 413,881.17 and 163,948.37

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Solution

The fourth proportional to 299,913.83, 413,881.17 and 163,948.37 is: 226,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,913.83 : 413,881.17 = 163,948.37 : x
  2. Step 2: Convert to fraction form
    299,913.83/413,881.17 = 163,948.37/x
  3. Step 3: Cross multiply
    299,913.83x = 413,881.17 × 163,948.37
  4. Step 4: Simplify right side
    299,913.83x = 67,855,143,195.19
  5. Step 5: Solve for x
    x = 67,855,143,195.19/299,913.83
  6. Step 6: Final answer
    x = 226,248.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.