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Finding the Fourth Proportional to 105,194.44, 145,168.86 and 57,447.79

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Solution

The fourth proportional to 105,194.44, 145,168.86 and 57,447.79 is: 79,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.44 : 145,168.86 = 57,447.79 : x
  2. Step 2: Convert to fraction form
    105,194.44/145,168.86 = 57,447.79/x
  3. Step 3: Cross multiply
    105,194.44x = 145,168.86 × 57,447.79
  4. Step 4: Simplify right side
    105,194.44x = 8,339,629,548.71
  5. Step 5: Solve for x
    x = 8,339,629,548.71/105,194.44
  6. Step 6: Final answer
    x = 79,278.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.