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Finding the Fourth Proportional to 194,699, 268,713.78 and 119,291.24

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Solution

The fourth proportional to 194,699, 268,713.78 and 119,291.24 is: 164,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,699 : 268,713.78 = 119,291.24 : x
  2. Step 2: Convert to fraction form
    194,699/268,713.78 = 119,291.24/x
  3. Step 3: Cross multiply
    194,699x = 268,713.78 × 119,291.24
  4. Step 4: Simplify right side
    194,699x = 32,055,200,021.29
  5. Step 5: Solve for x
    x = 32,055,200,021.29/194,699
  6. Step 6: Final answer
    x = 164,639.78

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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.