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Finding the Fourth Proportional to 176,183.40, 263,735.10 and 97,055.40

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Solution

The fourth proportional to 176,183.40, 263,735.10 and 97,055.40 is: 145,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,183.40 : 263,735.10 = 97,055.40 : x
  2. Step 2: Convert to fraction form
    176,183.40/263,735.10 = 97,055.40/x
  3. Step 3: Cross multiply
    176,183.40x = 263,735.10 × 97,055.40
  4. Step 4: Simplify right side
    176,183.40x = 25,596,915,624.54
  5. Step 5: Solve for x
    x = 25,596,915,624.54/176,183.40
  6. Step 6: Final answer
    x = 145,285.63

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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.