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Finding the Fourth Proportional to 180,630.30, 271,204.65 and 101,898.30

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Solution

The fourth proportional to 180,630.30, 271,204.65 and 101,898.30 is: 152,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,630.30 : 271,204.65 = 101,898.30 : x
  2. Step 2: Convert to fraction form
    180,630.30/271,204.65 = 101,898.30/x
  3. Step 3: Cross multiply
    180,630.30x = 271,204.65 × 101,898.30
  4. Step 4: Simplify right side
    180,630.30x = 27,635,292,787.10
  5. Step 5: Solve for x
    x = 27,635,292,787.10/180,630.30
  6. Step 6: Final answer
    x = 152,993.67

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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.