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Finding the Fourth Proportional to 180,907.52, 271,374.29 and 47,786.04

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Solution

The fourth proportional to 180,907.52, 271,374.29 and 47,786.04 is: 71,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,907.52 : 271,374.29 = 47,786.04 : x
  2. Step 2: Convert to fraction form
    180,907.52/271,374.29 = 47,786.04/x
  3. Step 3: Cross multiply
    180,907.52x = 271,374.29 × 47,786.04
  4. Step 4: Simplify right side
    180,907.52x = 12,967,902,437.98
  5. Step 5: Solve for x
    x = 12,967,902,437.98/180,907.52
  6. Step 6: Final answer
    x = 71,682.50

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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.