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Finding the Fourth Proportional to 194,872.48, 268,923.60 and 105,448.48

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Solution

The fourth proportional to 194,872.48, 268,923.60 and 105,448.48 is: 145,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,872.48 : 268,923.60 = 105,448.48 : x
  2. Step 2: Convert to fraction form
    194,872.48/268,923.60 = 105,448.48/x
  3. Step 3: Cross multiply
    194,872.48x = 268,923.60 × 105,448.48
  4. Step 4: Simplify right side
    194,872.48x = 28,357,584,856.13
  5. Step 5: Solve for x
    x = 28,357,584,856.13/194,872.48
  6. Step 6: Final answer
    x = 145,518.67

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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.