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Finding the Fourth Proportional to 100,913.42, 151,370.12 and 41,683.98

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Solution

The fourth proportional to 100,913.42, 151,370.12 and 41,683.98 is: 62,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,913.42 : 151,370.12 = 41,683.98 : x
  2. Step 2: Convert to fraction form
    100,913.42/151,370.12 = 41,683.98/x
  3. Step 3: Cross multiply
    100,913.42x = 151,370.12 × 41,683.98
  4. Step 4: Simplify right side
    100,913.42x = 6,309,708,846.26
  5. Step 5: Solve for x
    x = 6,309,708,846.26/100,913.42
  6. Step 6: Final answer
    x = 62,525.97

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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.