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Finding the Fourth Proportional to 125,846.44, 188,802.32 and 46,961.26

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Solution

The fourth proportional to 125,846.44, 188,802.32 and 46,961.26 is: 70,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,846.44 : 188,802.32 = 46,961.26 : x
  2. Step 2: Convert to fraction form
    125,846.44/188,802.32 = 46,961.26/x
  3. Step 3: Cross multiply
    125,846.44x = 188,802.32 × 46,961.26
  4. Step 4: Simplify right side
    125,846.44x = 8,866,394,838.12
  5. Step 5: Solve for x
    x = 8,866,394,838.12/125,846.44
  6. Step 6: Final answer
    x = 70,454.08

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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.