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Finding the Fourth Proportional to 194,193.68, 291,292.44 and 61,070.96

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Solution

The fourth proportional to 194,193.68, 291,292.44 and 61,070.96 is: 91,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,193.68 : 291,292.44 = 61,070.96 : x
  2. Step 2: Convert to fraction form
    194,193.68/291,292.44 = 61,070.96/x
  3. Step 3: Cross multiply
    194,193.68x = 291,292.44 × 61,070.96
  4. Step 4: Simplify right side
    194,193.68x = 17,789,508,951.54
  5. Step 5: Solve for x
    x = 17,789,508,951.54/194,193.68
  6. Step 6: Final answer
    x = 91,607.04

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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.