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Finding the Fourth Proportional to 214,652.85, 322,033.64 and 151,596.15

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Solution

The fourth proportional to 214,652.85, 322,033.64 and 151,596.15 is: 227,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,652.85 : 322,033.64 = 151,596.15 : x
  2. Step 2: Convert to fraction form
    214,652.85/322,033.64 = 151,596.15/x
  3. Step 3: Cross multiply
    214,652.85x = 322,033.64 × 151,596.15
  4. Step 4: Simplify right side
    214,652.85x = 48,819,059,236.51
  5. Step 5: Solve for x
    x = 48,819,059,236.51/214,652.85
  6. Step 6: Final answer
    x = 227,432.62

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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.