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Finding the Fourth Proportional to 126,781.44, 190,268.52 and 46,894.98

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Solution

The fourth proportional to 126,781.44, 190,268.52 and 46,894.98 is: 70,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,781.44 : 190,268.52 = 46,894.98 : x
  2. Step 2: Convert to fraction form
    126,781.44/190,268.52 = 46,894.98/x
  3. Step 3: Cross multiply
    126,781.44x = 190,268.52 × 46,894.98
  4. Step 4: Simplify right side
    126,781.44x = 8,922,638,440.03
  5. Step 5: Solve for x
    x = 8,922,638,440.03/126,781.44
  6. Step 6: Final answer
    x = 70,378.11

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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.