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Finding the Fourth Proportional to 194,491.96, 268,291.59 and 122,001.11

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Solution

The fourth proportional to 194,491.96, 268,291.59 and 122,001.11 is: 168,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,491.96 : 268,291.59 = 122,001.11 : x
  2. Step 2: Convert to fraction form
    194,491.96/268,291.59 = 122,001.11/x
  3. Step 3: Cross multiply
    194,491.96x = 268,291.59 × 122,001.11
  4. Step 4: Simplify right side
    194,491.96x = 32,731,872,431.62
  5. Step 5: Solve for x
    x = 32,731,872,431.62/194,491.96
  6. Step 6: Final answer
    x = 168,294.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.