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Finding the Fourth Proportional to 194,321.34, 291,566.72 and 68,052.17

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Solution

The fourth proportional to 194,321.34, 291,566.72 and 68,052.17 is: 102,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,321.34 : 291,566.72 = 68,052.17 : x
  2. Step 2: Convert to fraction form
    194,321.34/291,566.72 = 68,052.17/x
  3. Step 3: Cross multiply
    194,321.34x = 291,566.72 × 68,052.17
  4. Step 4: Simplify right side
    194,321.34x = 19,841,746,537.95
  5. Step 5: Solve for x
    x = 19,841,746,537.95/194,321.34
  6. Step 6: Final answer
    x = 102,107.91

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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.