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Finding the Fourth Proportional to 214,768.46, 322,150.64 and 130,551.88

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Solution

The fourth proportional to 214,768.46, 322,150.64 and 130,551.88 is: 195,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,768.46 : 322,150.64 = 130,551.88 : x
  2. Step 2: Convert to fraction form
    214,768.46/322,150.64 = 130,551.88/x
  3. Step 3: Cross multiply
    214,768.46x = 322,150.64 × 130,551.88
  4. Step 4: Simplify right side
    214,768.46x = 42,057,371,695.20
  5. Step 5: Solve for x
    x = 42,057,371,695.20/214,768.46
  6. Step 6: Final answer
    x = 195,826.57

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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.