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Finding the Fourth Proportional to 176,305, 264,457.52 and 44,977

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Solution

The fourth proportional to 176,305, 264,457.52 and 44,977 is: 67,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,305 : 264,457.52 = 44,977 : x
  2. Step 2: Convert to fraction form
    176,305/264,457.52 = 44,977/x
  3. Step 3: Cross multiply
    176,305x = 264,457.52 × 44,977
  4. Step 4: Simplify right side
    176,305x = 11,894,505,877.04
  5. Step 5: Solve for x
    x = 11,894,505,877.04/176,305
  6. Step 6: Final answer
    x = 67,465.51

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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.