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Finding the Fourth Proportional to 194,137.98, 291,206.76 and 61,029.87

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Solution

The fourth proportional to 194,137.98, 291,206.76 and 61,029.87 is: 91,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,137.98 : 291,206.76 = 61,029.87 : x
  2. Step 2: Convert to fraction form
    194,137.98/291,206.76 = 61,029.87/x
  3. Step 3: Cross multiply
    194,137.98x = 291,206.76 × 61,029.87
  4. Step 4: Simplify right side
    194,137.98x = 17,772,310,705.92
  5. Step 5: Solve for x
    x = 17,772,310,705.92/194,137.98
  6. Step 6: Final answer
    x = 91,544.74

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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.