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Finding the Fourth Proportional to 180,943.60, 271,415.40 and 154,116.40

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Solution

The fourth proportional to 180,943.60, 271,415.40 and 154,116.40 is: 231,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,943.60 : 271,415.40 = 154,116.40 : x
  2. Step 2: Convert to fraction form
    180,943.60/271,415.40 = 154,116.40/x
  3. Step 3: Cross multiply
    180,943.60x = 271,415.40 × 154,116.40
  4. Step 4: Simplify right side
    180,943.60x = 41,829,564,352.56
  5. Step 5: Solve for x
    x = 41,829,564,352.56/180,943.60
  6. Step 6: Final answer
    x = 231,174.60

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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.