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Finding the Fourth Proportional to 230,622.88, 345,934.32 and 106,068.64

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Solution

The fourth proportional to 230,622.88, 345,934.32 and 106,068.64 is: 159,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,622.88 : 345,934.32 = 106,068.64 : x
  2. Step 2: Convert to fraction form
    230,622.88/345,934.32 = 106,068.64/x
  3. Step 3: Cross multiply
    230,622.88x = 345,934.32 × 106,068.64
  4. Step 4: Simplify right side
    230,622.88x = 36,692,782,851.72
  5. Step 5: Solve for x
    x = 36,692,782,851.72/230,622.88
  6. Step 6: Final answer
    x = 159,102.96

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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.