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Finding the Fourth Proportional to 180,814.61, 271,240.14 and 47,704.07

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Solution

The fourth proportional to 180,814.61, 271,240.14 and 47,704.07 is: 71,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,814.61 : 271,240.14 = 47,704.07 : x
  2. Step 2: Convert to fraction form
    180,814.61/271,240.14 = 47,704.07/x
  3. Step 3: Cross multiply
    180,814.61x = 271,240.14 × 47,704.07
  4. Step 4: Simplify right side
    180,814.61x = 12,939,258,625.37
  5. Step 5: Solve for x
    x = 12,939,258,625.37/180,814.61
  6. Step 6: Final answer
    x = 71,560.91

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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.