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Finding the Fourth Proportional to 214,762.89, 296,521.05 and 134,226.61

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Solution

The fourth proportional to 214,762.89, 296,521.05 and 134,226.61 is: 185,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,762.89 : 296,521.05 = 134,226.61 : x
  2. Step 2: Convert to fraction form
    214,762.89/296,521.05 = 134,226.61/x
  3. Step 3: Cross multiply
    214,762.89x = 296,521.05 × 134,226.61
  4. Step 4: Simplify right side
    214,762.89x = 39,801,015,335.14
  5. Step 5: Solve for x
    x = 39,801,015,335.14/214,762.89
  6. Step 6: Final answer
    x = 185,325.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.