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Finding the Fourth Proportional to 180,967.11, 271,450.66 and 98,023.11

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Solution

The fourth proportional to 180,967.11, 271,450.66 and 98,023.11 is: 147,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,967.11 : 271,450.66 = 98,023.11 : x
  2. Step 2: Convert to fraction form
    180,967.11/271,450.66 = 98,023.11/x
  3. Step 3: Cross multiply
    180,967.11x = 271,450.66 × 98,023.11
  4. Step 4: Simplify right side
    180,967.11x = 26,608,437,904.75
  5. Step 5: Solve for x
    x = 26,608,437,904.75/180,967.11
  6. Step 6: Final answer
    x = 147,034.66

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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.