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Finding the Fourth Proportional to 180,200.10, 269,911.35 and 149,096.10

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Solution

The fourth proportional to 180,200.10, 269,911.35 and 149,096.10 is: 223,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,200.10 : 269,911.35 = 149,096.10 : x
  2. Step 2: Convert to fraction form
    180,200.10/269,911.35 = 149,096.10/x
  3. Step 3: Cross multiply
    180,200.10x = 269,911.35 × 149,096.10
  4. Step 4: Simplify right side
    180,200.10x = 40,242,729,630.74
  5. Step 5: Solve for x
    x = 40,242,729,630.74/180,200.10
  6. Step 6: Final answer
    x = 223,322.46

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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.