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Finding the Fourth Proportional to 298,051.02, 411,310.17 and 163,915.02

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Solution

The fourth proportional to 298,051.02, 411,310.17 and 163,915.02 is: 226,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,051.02 : 411,310.17 = 163,915.02 : x
  2. Step 2: Convert to fraction form
    298,051.02/411,310.17 = 163,915.02/x
  3. Step 3: Cross multiply
    298,051.02x = 411,310.17 × 163,915.02
  4. Step 4: Simplify right side
    298,051.02x = 67,419,914,741.75
  5. Step 5: Solve for x
    x = 67,419,914,741.75/298,051.02
  6. Step 6: Final answer
    x = 226,202.60

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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.