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Finding the Fourth Proportional to 194,322.34, 291,568.22 and 68,053.17

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Solution

The fourth proportional to 194,322.34, 291,568.22 and 68,053.17 is: 102,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,322.34 : 291,568.22 = 68,053.17 : x
  2. Step 2: Convert to fraction form
    194,322.34/291,568.22 = 68,053.17/x
  3. Step 3: Cross multiply
    194,322.34x = 291,568.22 × 68,053.17
  4. Step 4: Simplify right side
    194,322.34x = 19,842,141,642.26
  5. Step 5: Solve for x
    x = 19,842,141,642.26/194,322.34
  6. Step 6: Final answer
    x = 102,109.42

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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.