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Finding the Fourth Proportional to 150,271.98, 225,407.89 and 37,958.86

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Solution

The fourth proportional to 150,271.98, 225,407.89 and 37,958.86 is: 56,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,271.98 : 225,407.89 = 37,958.86 : x
  2. Step 2: Convert to fraction form
    150,271.98/225,407.89 = 37,958.86/x
  3. Step 3: Cross multiply
    150,271.98x = 225,407.89 × 37,958.86
  4. Step 4: Simplify right side
    150,271.98x = 8,556,226,539.41
  5. Step 5: Solve for x
    x = 8,556,226,539.41/150,271.98
  6. Step 6: Final answer
    x = 56,938.27

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1.5x scale

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.