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Finding the Fourth Proportional to 194,709, 268,727.58 and 119,301.24

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Solution

The fourth proportional to 194,709, 268,727.58 and 119,301.24 is: 164,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,709 : 268,727.58 = 119,301.24 : x
  2. Step 2: Convert to fraction form
    194,709/268,727.58 = 119,301.24/x
  3. Step 3: Cross multiply
    194,709x = 268,727.58 × 119,301.24
  4. Step 4: Simplify right side
    194,709x = 32,059,533,516.20
  5. Step 5: Solve for x
    x = 32,059,533,516.20/194,709
  6. Step 6: Final answer
    x = 164,653.58

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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.