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Finding the Fourth Proportional to 214,846.78, 322,276.56 and 102,538.84

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Solution

The fourth proportional to 214,846.78, 322,276.56 and 102,538.84 is: 153,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,846.78 : 322,276.56 = 102,538.84 : x
  2. Step 2: Convert to fraction form
    214,846.78/322,276.56 = 102,538.84/x
  3. Step 3: Cross multiply
    214,846.78x = 322,276.56 × 102,538.84
  4. Step 4: Simplify right side
    214,846.78x = 33,045,864,621.59
  5. Step 5: Solve for x
    x = 33,045,864,621.59/214,846.78
  6. Step 6: Final answer
    x = 153,811.31

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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.