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Finding the Fourth Proportional to 180,884, 271,349.04 and 49,556

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Solution

The fourth proportional to 180,884, 271,349.04 and 49,556 is: 74,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,884 : 271,349.04 = 49,556 : x
  2. Step 2: Convert to fraction form
    180,884/271,349.04 = 49,556/x
  3. Step 3: Cross multiply
    180,884x = 271,349.04 × 49,556
  4. Step 4: Simplify right side
    180,884x = 13,446,973,026.24
  5. Step 5: Solve for x
    x = 13,446,973,026.24/180,884
  6. Step 6: Final answer
    x = 74,340.31

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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.