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Finding the Fourth Proportional to 358,101, 494,182.66 and 194,759

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Solution

The fourth proportional to 358,101, 494,182.66 and 194,759 is: 268,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,101 : 494,182.66 = 194,759 : x
  2. Step 2: Convert to fraction form
    358,101/494,182.66 = 194,759/x
  3. Step 3: Cross multiply
    358,101x = 494,182.66 × 194,759
  4. Step 4: Simplify right side
    358,101x = 96,246,520,678.94
  5. Step 5: Solve for x
    x = 96,246,520,678.94/358,101
  6. Step 6: Final answer
    x = 268,769.20

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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.