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Finding the Fourth Proportional to 180,851.30, 271,406.55 and 101,881.70

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Solution

The fourth proportional to 180,851.30, 271,406.55 and 101,881.70 is: 152,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,851.30 : 271,406.55 = 101,881.70 : x
  2. Step 2: Convert to fraction form
    180,851.30/271,406.55 = 101,881.70/x
  3. Step 3: Cross multiply
    180,851.30x = 271,406.55 × 101,881.70
  4. Step 4: Simplify right side
    180,851.30x = 27,651,360,705.14
  5. Step 5: Solve for x
    x = 27,651,360,705.14/180,851.30
  6. Step 6: Final answer
    x = 152,895.56

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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.