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Finding the Fourth Proportional to 184,195, 276,292.50 and 59,536

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Solution

The fourth proportional to 184,195, 276,292.50 and 59,536 is: 89,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,195 : 276,292.50 = 59,536 : x
  2. Step 2: Convert to fraction form
    184,195/276,292.50 = 59,536/x
  3. Step 3: Cross multiply
    184,195x = 276,292.50 × 59,536
  4. Step 4: Simplify right side
    184,195x = 16,449,350,280
  5. Step 5: Solve for x
    x = 16,449,350,280/184,195
  6. Step 6: Final answer
    x = 89,304

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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.