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Finding the Fourth Proportional to 194,678.96, 268,656.92 and 109,795.84

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Solution

The fourth proportional to 194,678.96, 268,656.92 and 109,795.84 is: 151,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,678.96 : 268,656.92 = 109,795.84 : x
  2. Step 2: Convert to fraction form
    194,678.96/268,656.92 = 109,795.84/x
  3. Step 3: Cross multiply
    194,678.96x = 268,656.92 × 109,795.84
  4. Step 4: Simplify right side
    194,678.96x = 29,497,412,203.21
  5. Step 5: Solve for x
    x = 29,497,412,203.21/194,678.96
  6. Step 6: Final answer
    x = 151,518.23

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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.