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Finding the Fourth Proportional to 133,075.86, 199,690.34 and 73,906.58

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Solution

The fourth proportional to 133,075.86, 199,690.34 and 73,906.58 is: 110,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075.86 : 199,690.34 = 73,906.58 : x
  2. Step 2: Convert to fraction form
    133,075.86/199,690.34 = 73,906.58/x
  3. Step 3: Cross multiply
    133,075.86x = 199,690.34 × 73,906.58
  4. Step 4: Simplify right side
    133,075.86x = 14,758,430,088.44
  5. Step 5: Solve for x
    x = 14,758,430,088.44/133,075.86
  6. Step 6: Final answer
    x = 110,902.38

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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.