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Finding the Fourth Proportional to 152,219.15, 228,324 and 72,314.63

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Solution

The fourth proportional to 152,219.15, 228,324 and 72,314.63 is: 108,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,219.15 : 228,324 = 72,314.63 : x
  2. Step 2: Convert to fraction form
    152,219.15/228,324 = 72,314.63/x
  3. Step 3: Cross multiply
    152,219.15x = 228,324 × 72,314.63
  4. Step 4: Simplify right side
    152,219.15x = 16,511,164,438.50
  5. Step 5: Solve for x
    x = 16,511,164,438.50/152,219.15
  6. Step 6: Final answer
    x = 108,469.69

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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.