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Finding the Fourth Proportional to 133,091.71, 199,647.15 and 41,899.30

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Solution

The fourth proportional to 133,091.71, 199,647.15 and 41,899.30 is: 62,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091.71 : 199,647.15 = 41,899.30 : x
  2. Step 2: Convert to fraction form
    133,091.71/199,647.15 = 41,899.30/x
  3. Step 3: Cross multiply
    133,091.71x = 199,647.15 × 41,899.30
  4. Step 4: Simplify right side
    133,091.71x = 8,365,075,832.00
  5. Step 5: Solve for x
    x = 8,365,075,832.00/133,091.71
  6. Step 6: Final answer
    x = 62,851.97

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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.