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Finding the Fourth Proportional to 119,876, 179,822.64 and 46,004

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Solution

The fourth proportional to 119,876, 179,822.64 and 46,004 is: 69,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,876 : 179,822.64 = 46,004 : x
  2. Step 2: Convert to fraction form
    119,876/179,822.64 = 46,004/x
  3. Step 3: Cross multiply
    119,876x = 179,822.64 × 46,004
  4. Step 4: Simplify right side
    119,876x = 8,272,560,730.56
  5. Step 5: Solve for x
    x = 8,272,560,730.56/119,876
  6. Step 6: Final answer
    x = 69,009.32

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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.