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Finding the Fourth Proportional to 266,348.14, 399,713.34 and 180,745.54

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Solution

The fourth proportional to 266,348.14, 399,713.34 and 180,745.54 is: 271,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,348.14 : 399,713.34 = 180,745.54 : x
  2. Step 2: Convert to fraction form
    266,348.14/399,713.34 = 180,745.54/x
  3. Step 3: Cross multiply
    266,348.14x = 399,713.34 × 180,745.54
  4. Step 4: Simplify right side
    266,348.14x = 72,246,403,483.50
  5. Step 5: Solve for x
    x = 72,246,403,483.50/266,348.14
  6. Step 6: Final answer
    x = 271,248.01

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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.