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Finding the Fourth Proportional to 105,993.54, 146,270.16 and 57,594.96

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Solution

The fourth proportional to 105,993.54, 146,270.16 and 57,594.96 is: 79,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,993.54 : 146,270.16 = 57,594.96 : x
  2. Step 2: Convert to fraction form
    105,993.54/146,270.16 = 57,594.96/x
  3. Step 3: Cross multiply
    105,993.54x = 146,270.16 × 57,594.96
  4. Step 4: Simplify right side
    105,993.54x = 8,424,424,014.39
  5. Step 5: Solve for x
    x = 8,424,424,014.39/105,993.54
  6. Step 6: Final answer
    x = 79,480.54

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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.