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Finding the Fourth Proportional to 194,702, 268,717.94 and 119,294.24

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Solution

The fourth proportional to 194,702, 268,717.94 and 119,294.24 is: 164,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,702 : 268,717.94 = 119,294.24 : x
  2. Step 2: Convert to fraction form
    194,702/268,717.94 = 119,294.24/x
  3. Step 3: Cross multiply
    194,702x = 268,717.94 × 119,294.24
  4. Step 4: Simplify right side
    194,702x = 32,056,502,426.67
  5. Step 5: Solve for x
    x = 32,056,502,426.67/194,702
  6. Step 6: Final answer
    x = 164,643.93

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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.