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Finding the Fourth Proportional to 176,743.20, 264,823.20 and 150,499.20

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Solution

The fourth proportional to 176,743.20, 264,823.20 and 150,499.20 is: 225,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,743.20 : 264,823.20 = 150,499.20 : x
  2. Step 2: Convert to fraction form
    176,743.20/264,823.20 = 150,499.20/x
  3. Step 3: Cross multiply
    176,743.20x = 264,823.20 × 150,499.20
  4. Step 4: Simplify right side
    176,743.20x = 39,855,679,741.44
  5. Step 5: Solve for x
    x = 39,855,679,741.44/176,743.20
  6. Step 6: Final answer
    x = 225,500.50

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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.