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Finding the Fourth Proportional to 180,447.65, 270,548.46 and 91,529.70

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Solution

The fourth proportional to 180,447.65, 270,548.46 and 91,529.70 is: 137,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,447.65 : 270,548.46 = 91,529.70 : x
  2. Step 2: Convert to fraction form
    180,447.65/270,548.46 = 91,529.70/x
  3. Step 3: Cross multiply
    180,447.65x = 270,548.46 × 91,529.70
  4. Step 4: Simplify right side
    180,447.65x = 24,763,219,379.26
  5. Step 5: Solve for x
    x = 24,763,219,379.26/180,447.65
  6. Step 6: Final answer
    x = 137,232.15

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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.