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Finding the Fourth Proportional to 173,866.72, 260,938.32 and 149,195.20

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Solution

The fourth proportional to 173,866.72, 260,938.32 and 149,195.20 is: 223,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,866.72 : 260,938.32 = 149,195.20 : x
  2. Step 2: Convert to fraction form
    173,866.72/260,938.32 = 149,195.20/x
  3. Step 3: Cross multiply
    173,866.72x = 260,938.32 × 149,195.20
  4. Step 4: Simplify right side
    173,866.72x = 38,930,744,840.06
  5. Step 5: Solve for x
    x = 38,930,744,840.06/173,866.72
  6. Step 6: Final answer
    x = 223,911.42

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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.