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Finding the Fourth Proportional to 194,135.98, 291,203.76 and 61,027.87

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Solution

The fourth proportional to 194,135.98, 291,203.76 and 61,027.87 is: 91,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,135.98 : 291,203.76 = 61,027.87 : x
  2. Step 2: Convert to fraction form
    194,135.98/291,203.76 = 61,027.87/x
  3. Step 3: Cross multiply
    194,135.98x = 291,203.76 × 61,027.87
  4. Step 4: Simplify right side
    194,135.98x = 17,771,543,752.77
  5. Step 5: Solve for x
    x = 17,771,543,752.77/194,135.98
  6. Step 6: Final answer
    x = 91,541.73

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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.