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Finding the Fourth Proportional to 513,154.50, 769,658.37 and 176,188.83

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Solution

The fourth proportional to 513,154.50, 769,658.37 and 176,188.83 is: 264,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,154.50 : 769,658.37 = 176,188.83 : x
  2. Step 2: Convert to fraction form
    513,154.50/769,658.37 = 176,188.83/x
  3. Step 3: Cross multiply
    513,154.50x = 769,658.37 × 176,188.83
  4. Step 4: Simplify right side
    513,154.50x = 135,605,203,861.72
  5. Step 5: Solve for x
    x = 135,605,203,861.72/513,154.50
  6. Step 6: Final answer
    x = 264,258.05

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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.