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Finding the Fourth Proportional to 152,200.44, 228,354.78 and 67,953

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Solution

The fourth proportional to 152,200.44, 228,354.78 and 67,953 is: 101,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,200.44 : 228,354.78 = 67,953 : x
  2. Step 2: Convert to fraction form
    152,200.44/228,354.78 = 67,953/x
  3. Step 3: Cross multiply
    152,200.44x = 228,354.78 × 67,953
  4. Step 4: Simplify right side
    152,200.44x = 15,517,392,365.34
  5. Step 5: Solve for x
    x = 15,517,392,365.34/152,200.44
  6. Step 6: Final answer
    x = 101,953.66

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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.