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Finding the Fourth Proportional to 329,800.50, 494,675.88 and 105,151.86

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Solution

The fourth proportional to 329,800.50, 494,675.88 and 105,151.86 is: 157,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,800.50 : 494,675.88 = 105,151.86 : x
  2. Step 2: Convert to fraction form
    329,800.50/494,675.88 = 105,151.86/x
  3. Step 3: Cross multiply
    329,800.50x = 494,675.88 × 105,151.86
  4. Step 4: Simplify right side
    329,800.50x = 52,016,088,879.14
  5. Step 5: Solve for x
    x = 52,016,088,879.14/329,800.50
  6. Step 6: Final answer
    x = 157,719.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.