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Finding the Fourth Proportional to 297,002.10, 445,393.80 and 147,192.60

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Solution

The fourth proportional to 297,002.10, 445,393.80 and 147,192.60 is: 220,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002.10 : 445,393.80 = 147,192.60 : x
  2. Step 2: Convert to fraction form
    297,002.10/445,393.80 = 147,192.60/x
  3. Step 3: Cross multiply
    297,002.10x = 445,393.80 × 147,192.60
  4. Step 4: Simplify right side
    297,002.10x = 65,558,671,445.88
  5. Step 5: Solve for x
    x = 65,558,671,445.88/297,002.10
  6. Step 6: Final answer
    x = 220,734.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.