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Finding the Fourth Proportional to 194,666.49, 291,998.01 and 61,546.84

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Solution

The fourth proportional to 194,666.49, 291,998.01 and 61,546.84 is: 92,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,666.49 : 291,998.01 = 61,546.84 : x
  2. Step 2: Convert to fraction form
    194,666.49/291,998.01 = 61,546.84/x
  3. Step 3: Cross multiply
    194,666.49x = 291,998.01 × 61,546.84
  4. Step 4: Simplify right side
    194,666.49x = 17,971,554,302.59
  5. Step 5: Solve for x
    x = 17,971,554,302.59/194,666.49
  6. Step 6: Final answer
    x = 92,319.71

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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.