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Finding the Fourth Proportional to 180,266.76, 270,379.49 and 47,159.87

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Solution

The fourth proportional to 180,266.76, 270,379.49 and 47,159.87 is: 70,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,266.76 : 270,379.49 = 47,159.87 : x
  2. Step 2: Convert to fraction form
    180,266.76/270,379.49 = 47,159.87/x
  3. Step 3: Cross multiply
    180,266.76x = 270,379.49 × 47,159.87
  4. Step 4: Simplify right side
    180,266.76x = 12,751,060,011.37
  5. Step 5: Solve for x
    x = 12,751,060,011.37/180,266.76
  6. Step 6: Final answer
    x = 70,734.39

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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.