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Finding the Fourth Proportional to 194,192.68, 291,290.94 and 61,069.96

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Solution

The fourth proportional to 194,192.68, 291,290.94 and 61,069.96 is: 91,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,192.68 : 291,290.94 = 61,069.96 : x
  2. Step 2: Convert to fraction form
    194,192.68/291,290.94 = 61,069.96/x
  3. Step 3: Cross multiply
    194,192.68x = 291,290.94 × 61,069.96
  4. Step 4: Simplify right side
    194,192.68x = 17,789,126,054.16
  5. Step 5: Solve for x
    x = 17,789,126,054.16/194,192.68
  6. Step 6: Final answer
    x = 91,605.54

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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.