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Finding the Fourth Proportional to 119,888, 179,840.64 and 46,016

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Solution

The fourth proportional to 119,888, 179,840.64 and 46,016 is: 69,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,888 : 179,840.64 = 46,016 : x
  2. Step 2: Convert to fraction form
    119,888/179,840.64 = 46,016/x
  3. Step 3: Cross multiply
    119,888x = 179,840.64 × 46,016
  4. Step 4: Simplify right side
    119,888x = 8,275,546,890.24
  5. Step 5: Solve for x
    x = 8,275,546,890.24/119,888
  6. Step 6: Final answer
    x = 69,027.32

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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.