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Finding the Fourth Proportional to 214,675.52, 322,160.90 and 74,434.14

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Solution

The fourth proportional to 214,675.52, 322,160.90 and 74,434.14 is: 111,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,675.52 : 322,160.90 = 74,434.14 : x
  2. Step 2: Convert to fraction form
    214,675.52/322,160.90 = 74,434.14/x
  3. Step 3: Cross multiply
    214,675.52x = 322,160.90 × 74,434.14
  4. Step 4: Simplify right side
    214,675.52x = 23,979,769,533.13
  5. Step 5: Solve for x
    x = 23,979,769,533.13/214,675.52
  6. Step 6: Final answer
    x = 111,702.39

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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.