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Finding the Fourth Proportional to 194,708.36, 291,808.02 and 99,858.44

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Solution

The fourth proportional to 194,708.36, 291,808.02 and 99,858.44 is: 149,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,708.36 : 291,808.02 = 99,858.44 : x
  2. Step 2: Convert to fraction form
    194,708.36/291,808.02 = 99,858.44/x
  3. Step 3: Cross multiply
    194,708.36x = 291,808.02 × 99,858.44
  4. Step 4: Simplify right side
    194,708.36x = 29,139,493,656.69
  5. Step 5: Solve for x
    x = 29,139,493,656.69/194,708.36
  6. Step 6: Final answer
    x = 149,657.13

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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.