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Finding the Fourth Proportional to 119,664, 179,504.64 and 45,792

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Solution

The fourth proportional to 119,664, 179,504.64 and 45,792 is: 68,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,664 : 179,504.64 = 45,792 : x
  2. Step 2: Convert to fraction form
    119,664/179,504.64 = 45,792/x
  3. Step 3: Cross multiply
    119,664x = 179,504.64 × 45,792
  4. Step 4: Simplify right side
    119,664x = 8,219,876,474.88
  5. Step 5: Solve for x
    x = 8,219,876,474.88/119,664
  6. Step 6: Final answer
    x = 68,691.31

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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.