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Finding the Fourth Proportional to 180,311.96, 270,530.30 and 68,024.36

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Solution

The fourth proportional to 180,311.96, 270,530.30 and 68,024.36 is: 102,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,311.96 : 270,530.30 = 68,024.36 : x
  2. Step 2: Convert to fraction form
    180,311.96/270,530.30 = 68,024.36/x
  3. Step 3: Cross multiply
    180,311.96x = 270,530.30 × 68,024.36
  4. Step 4: Simplify right side
    180,311.96x = 18,402,650,518.11
  5. Step 5: Solve for x
    x = 18,402,650,518.11/180,311.96
  6. Step 6: Final answer
    x = 102,060.07

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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.