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Finding the Fourth Proportional to 176,115, 264,008.15 and 69,499.84

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Solution

The fourth proportional to 176,115, 264,008.15 and 69,499.84 is: 104,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,115 : 264,008.15 = 69,499.84 : x
  2. Step 2: Convert to fraction form
    176,115/264,008.15 = 69,499.84/x
  3. Step 3: Cross multiply
    176,115x = 264,008.15 × 69,499.84
  4. Step 4: Simplify right side
    176,115x = 18,348,524,183.70
  5. Step 5: Solve for x
    x = 18,348,524,183.70/176,115
  6. Step 6: Final answer
    x = 104,184.90

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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.