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Finding the Fourth Proportional to 299,898.03, 413,870.40 and 163,941.20

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Solution

The fourth proportional to 299,898.03, 413,870.40 and 163,941.20 is: 226,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,898.03 : 413,870.40 = 163,941.20 : x
  2. Step 2: Convert to fraction form
    299,898.03/413,870.40 = 163,941.20/x
  3. Step 3: Cross multiply
    299,898.03x = 413,870.40 × 163,941.20
  4. Step 4: Simplify right side
    299,898.03x = 67,850,407,951.13
  5. Step 5: Solve for x
    x = 67,850,407,951.13/299,898.03
  6. Step 6: Final answer
    x = 226,244.93

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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.