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Finding the Fourth Proportional to 176,289, 264,433.50 and 44,961

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Solution

The fourth proportional to 176,289, 264,433.50 and 44,961 is: 67,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,289 : 264,433.50 = 44,961 : x
  2. Step 2: Convert to fraction form
    176,289/264,433.50 = 44,961/x
  3. Step 3: Cross multiply
    176,289x = 264,433.50 × 44,961
  4. Step 4: Simplify right side
    176,289x = 11,889,194,593.50
  5. Step 5: Solve for x
    x = 11,889,194,593.50/176,289
  6. Step 6: Final answer
    x = 67,441.50

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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.