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Finding the Fourth Proportional to 264,001.02, 364,298.88 and 149,274.03

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Solution

The fourth proportional to 264,001.02, 364,298.88 and 149,274.03 is: 205,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,001.02 : 364,298.88 = 149,274.03 : x
  2. Step 2: Convert to fraction form
    264,001.02/364,298.88 = 149,274.03/x
  3. Step 3: Cross multiply
    264,001.02x = 364,298.88 × 149,274.03
  4. Step 4: Simplify right side
    264,001.02x = 54,380,361,942.09
  5. Step 5: Solve for x
    x = 54,380,361,942.09/264,001.02
  6. Step 6: Final answer
    x = 205,985.42

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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.