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Finding the Fourth Proportional to 270,199.82, 405,238.09 and 101,737.91

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Solution

The fourth proportional to 270,199.82, 405,238.09 and 101,737.91 is: 152,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,199.82 : 405,238.09 = 101,737.91 : x
  2. Step 2: Convert to fraction form
    270,199.82/405,238.09 = 101,737.91/x
  3. Step 3: Cross multiply
    270,199.82x = 405,238.09 × 101,737.91
  4. Step 4: Simplify right side
    270,199.82x = 41,228,076,328.99
  5. Step 5: Solve for x
    x = 41,228,076,328.99/270,199.82
  6. Step 6: Final answer
    x = 152,583.66

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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.