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Finding the Fourth Proportional to 299,766.42, 413,683.13 and 163,806.10

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Solution

The fourth proportional to 299,766.42, 413,683.13 and 163,806.10 is: 226,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,766.42 : 413,683.13 = 163,806.10 : x
  2. Step 2: Convert to fraction form
    299,766.42/413,683.13 = 163,806.10/x
  3. Step 3: Cross multiply
    299,766.42x = 413,683.13 × 163,806.10
  4. Step 4: Simplify right side
    299,766.42x = 67,763,819,536.40
  5. Step 5: Solve for x
    x = 67,763,819,536.40/299,766.42
  6. Step 6: Final answer
    x = 226,055.41

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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.