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Finding the Fourth Proportional to 212,624.10, 318,608.10 and 184,411.80

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Solution

The fourth proportional to 212,624.10, 318,608.10 and 184,411.80 is: 276,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,624.10 : 318,608.10 = 184,411.80 : x
  2. Step 2: Convert to fraction form
    212,624.10/318,608.10 = 184,411.80/x
  3. Step 3: Cross multiply
    212,624.10x = 318,608.10 × 184,411.80
  4. Step 4: Simplify right side
    212,624.10x = 58,755,093,215.58
  5. Step 5: Solve for x
    x = 58,755,093,215.58/212,624.10
  6. Step 6: Final answer
    x = 276,333.18

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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.