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Finding the Fourth Proportional to 180,914.32, 271,153.50 and 66,971.08

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Solution

The fourth proportional to 180,914.32, 271,153.50 and 66,971.08 is: 100,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,914.32 : 271,153.50 = 66,971.08 : x
  2. Step 2: Convert to fraction form
    180,914.32/271,153.50 = 66,971.08/x
  3. Step 3: Cross multiply
    180,914.32x = 271,153.50 × 66,971.08
  4. Step 4: Simplify right side
    180,914.32x = 18,159,442,740.78
  5. Step 5: Solve for x
    x = 18,159,442,740.78/180,914.32
  6. Step 6: Final answer
    x = 100,375.93

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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.