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Finding the Fourth Proportional to 180,105.42, 270,158.13 and 69,271.50

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Solution

The fourth proportional to 180,105.42, 270,158.13 and 69,271.50 is: 103,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,105.42 : 270,158.13 = 69,271.50 : x
  2. Step 2: Convert to fraction form
    180,105.42/270,158.13 = 69,271.50/x
  3. Step 3: Cross multiply
    180,105.42x = 270,158.13 × 69,271.50
  4. Step 4: Simplify right side
    180,105.42x = 18,714,258,902.30
  5. Step 5: Solve for x
    x = 18,714,258,902.30/180,105.42
  6. Step 6: Final answer
    x = 103,907.25

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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.