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Finding the Fourth Proportional to 105,611.26, 145,743.51 and 57,866.42

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Solution

The fourth proportional to 105,611.26, 145,743.51 and 57,866.42 is: 79,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,611.26 : 145,743.51 = 57,866.42 : x
  2. Step 2: Convert to fraction form
    105,611.26/145,743.51 = 57,866.42/x
  3. Step 3: Cross multiply
    105,611.26x = 145,743.51 × 57,866.42
  4. Step 4: Simplify right side
    105,611.26x = 8,433,655,161.93
  5. Step 5: Solve for x
    x = 8,433,655,161.93/105,611.26
  6. Step 6: Final answer
    x = 79,855.64

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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.