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Finding the Fourth Proportional to 315,015, 472,522.50 and 81,543

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Solution

The fourth proportional to 315,015, 472,522.50 and 81,543 is: 122,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,015 : 472,522.50 = 81,543 : x
  2. Step 2: Convert to fraction form
    315,015/472,522.50 = 81,543/x
  3. Step 3: Cross multiply
    315,015x = 472,522.50 × 81,543
  4. Step 4: Simplify right side
    315,015x = 38,530,902,217.50
  5. Step 5: Solve for x
    x = 38,530,902,217.50/315,015
  6. Step 6: Final answer
    x = 122,314.50

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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.