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Finding the Fourth Proportional to 149,462.92, 224,194.62 and 102,573.64

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Solution

The fourth proportional to 149,462.92, 224,194.62 and 102,573.64 is: 153,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,462.92 : 224,194.62 = 102,573.64 : x
  2. Step 2: Convert to fraction form
    149,462.92/224,194.62 = 102,573.64/x
  3. Step 3: Cross multiply
    149,462.92x = 224,194.62 × 102,573.64
  4. Step 4: Simplify right side
    149,462.92x = 22,996,458,241.82
  5. Step 5: Solve for x
    x = 22,996,458,241.82/149,462.92
  6. Step 6: Final answer
    x = 153,860.62

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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.