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Finding the Fourth Proportional to 189,784.53, 261,733 and 157,467.96

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Solution

The fourth proportional to 189,784.53, 261,733 and 157,467.96 is: 217,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,784.53 : 261,733 = 157,467.96 : x
  2. Step 2: Convert to fraction form
    189,784.53/261,733 = 157,467.96/x
  3. Step 3: Cross multiply
    189,784.53x = 261,733 × 157,467.96
  4. Step 4: Simplify right side
    189,784.53x = 41,214,562,229.01
  5. Step 5: Solve for x
    x = 41,214,562,229.01/189,784.53
  6. Step 6: Final answer
    x = 217,165.02

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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.