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Finding the Fourth Proportional to 180,700.54, 270,919.29 and 75,549.34

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Solution

The fourth proportional to 180,700.54, 270,919.29 and 75,549.34 is: 113,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,700.54 : 270,919.29 = 75,549.34 : x
  2. Step 2: Convert to fraction form
    180,700.54/270,919.29 = 75,549.34/x
  3. Step 3: Cross multiply
    180,700.54x = 270,919.29 × 75,549.34
  4. Step 4: Simplify right side
    180,700.54x = 20,467,773,552.77
  5. Step 5: Solve for x
    x = 20,467,773,552.77/180,700.54
  6. Step 6: Final answer
    x = 113,269.02

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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.