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Finding the Fourth Proportional to 194,556.94, 268,492.68 and 109,674

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Solution

The fourth proportional to 194,556.94, 268,492.68 and 109,674 is: 151,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,556.94 : 268,492.68 = 109,674 : x
  2. Step 2: Convert to fraction form
    194,556.94/268,492.68 = 109,674/x
  3. Step 3: Cross multiply
    194,556.94x = 268,492.68 × 109,674
  4. Step 4: Simplify right side
    194,556.94x = 29,446,666,186.32
  5. Step 5: Solve for x
    x = 29,446,666,186.32/194,556.94
  6. Step 6: Final answer
    x = 151,352.43

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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.