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Finding the Fourth Proportional to 152,216.52, 228,268 and 52,348.44

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Solution

The fourth proportional to 152,216.52, 228,268 and 52,348.44 is: 78,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,216.52 : 228,268 = 52,348.44 : x
  2. Step 2: Convert to fraction form
    152,216.52/228,268 = 52,348.44/x
  3. Step 3: Cross multiply
    152,216.52x = 228,268 × 52,348.44
  4. Step 4: Simplify right side
    152,216.52x = 11,949,473,701.92
  5. Step 5: Solve for x
    x = 11,949,473,701.92/152,216.52
  6. Step 6: Final answer
    x = 78,503.13

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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.