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Finding the Fourth Proportional to 194,603.98, 291,918.29 and 82,263.26

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Solution

The fourth proportional to 194,603.98, 291,918.29 and 82,263.26 is: 123,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,603.98 : 291,918.29 = 82,263.26 : x
  2. Step 2: Convert to fraction form
    194,603.98/291,918.29 = 82,263.26/x
  3. Step 3: Cross multiply
    194,603.98x = 291,918.29 × 82,263.26
  4. Step 4: Simplify right side
    194,603.98x = 24,014,148,318.12
  5. Step 5: Solve for x
    x = 24,014,148,318.12/194,603.98
  6. Step 6: Final answer
    x = 123,400.09

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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.