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Finding the Fourth Proportional to 208,264, 312,397.02 and 50,492.44

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Solution

The fourth proportional to 208,264, 312,397.02 and 50,492.44 is: 75,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,264 : 312,397.02 = 50,492.44 : x
  2. Step 2: Convert to fraction form
    208,264/312,397.02 = 50,492.44/x
  3. Step 3: Cross multiply
    208,264x = 312,397.02 × 50,492.44
  4. Step 4: Simplify right side
    208,264x = 15,773,687,788.53
  5. Step 5: Solve for x
    x = 15,773,687,788.53/208,264
  6. Step 6: Final answer
    x = 75,738.91

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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.