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Finding the Fourth Proportional to 176,464.22, 264,695.70 and 76,611.38

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Solution

The fourth proportional to 176,464.22, 264,695.70 and 76,611.38 is: 114,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,464.22 : 264,695.70 = 76,611.38 : x
  2. Step 2: Convert to fraction form
    176,464.22/264,695.70 = 76,611.38/x
  3. Step 3: Cross multiply
    176,464.22x = 264,695.70 × 76,611.38
  4. Step 4: Simplify right side
    176,464.22x = 20,278,702,857.07
  5. Step 5: Solve for x
    x = 20,278,702,857.07/176,464.22
  6. Step 6: Final answer
    x = 114,916.80

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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.