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Finding the Fourth Proportional to 180,113.80, 270,170.70 and 145,121.80

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Solution

The fourth proportional to 180,113.80, 270,170.70 and 145,121.80 is: 217,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,113.80 : 270,170.70 = 145,121.80 : x
  2. Step 2: Convert to fraction form
    180,113.80/270,170.70 = 145,121.80/x
  3. Step 3: Cross multiply
    180,113.80x = 270,170.70 × 145,121.80
  4. Step 4: Simplify right side
    180,113.80x = 39,207,658,291.26
  5. Step 5: Solve for x
    x = 39,207,658,291.26/180,113.80
  6. Step 6: Final answer
    x = 217,682.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.