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Finding the Fourth Proportional to 164,959.94, 247,458.37 and 46,640.51

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Solution

The fourth proportional to 164,959.94, 247,458.37 and 46,640.51 is: 69,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,959.94 : 247,458.37 = 46,640.51 : x
  2. Step 2: Convert to fraction form
    164,959.94/247,458.37 = 46,640.51/x
  3. Step 3: Cross multiply
    164,959.94x = 247,458.37 × 46,640.51
  4. Step 4: Simplify right side
    164,959.94x = 11,541,584,110.92
  5. Step 5: Solve for x
    x = 11,541,584,110.92/164,959.94
  6. Step 6: Final answer
    x = 69,965.98

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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.