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Finding the Fourth Proportional to 264,906.60, 397,052.70 and 107,031.40

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Solution

The fourth proportional to 264,906.60, 397,052.70 and 107,031.40 is: 160,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906.60 : 397,052.70 = 107,031.40 : x
  2. Step 2: Convert to fraction form
    264,906.60/397,052.70 = 107,031.40/x
  3. Step 3: Cross multiply
    264,906.60x = 397,052.70 × 107,031.40
  4. Step 4: Simplify right side
    264,906.60x = 42,497,106,354.78
  5. Step 5: Solve for x
    x = 42,497,106,354.78/264,906.60
  6. Step 6: Final answer
    x = 160,422.98

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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.