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Finding the Fourth Proportional to 176,183.60, 264,291.60 and 49,823.60

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Solution

The fourth proportional to 176,183.60, 264,291.60 and 49,823.60 is: 74,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,183.60 : 264,291.60 = 49,823.60 : x
  2. Step 2: Convert to fraction form
    176,183.60/264,291.60 = 49,823.60/x
  3. Step 3: Cross multiply
    176,183.60x = 264,291.60 × 49,823.60
  4. Step 4: Simplify right side
    176,183.60x = 13,167,958,961.76
  5. Step 5: Solve for x
    x = 13,167,958,961.76/176,183.60
  6. Step 6: Final answer
    x = 74,739.98

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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.