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Finding the Fourth Proportional to 180,774.10, 271,163.84 and 68,424.16

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Solution

The fourth proportional to 180,774.10, 271,163.84 and 68,424.16 is: 102,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,774.10 : 271,163.84 = 68,424.16 : x
  2. Step 2: Convert to fraction form
    180,774.10/271,163.84 = 68,424.16/x
  3. Step 3: Cross multiply
    180,774.10x = 271,163.84 × 68,424.16
  4. Step 4: Simplify right side
    180,774.10x = 18,554,156,509.47
  5. Step 5: Solve for x
    x = 18,554,156,509.47/180,774.10
  6. Step 6: Final answer
    x = 102,637.25

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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.