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Finding the Fourth Proportional to 177,624.78, 245,007.63 and 105,949.50

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Solution

The fourth proportional to 177,624.78, 245,007.63 and 105,949.50 is: 146,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624.78 : 245,007.63 = 105,949.50 : x
  2. Step 2: Convert to fraction form
    177,624.78/245,007.63 = 105,949.50/x
  3. Step 3: Cross multiply
    177,624.78x = 245,007.63 × 105,949.50
  4. Step 4: Simplify right side
    177,624.78x = 25,958,435,894.69
  5. Step 5: Solve for x
    x = 25,958,435,894.69/177,624.78
  6. Step 6: Final answer
    x = 146,141.97

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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.