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Finding the Fourth Proportional to 549,409.50, 824,171.33 and 150,050.21

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Solution

The fourth proportional to 549,409.50, 824,171.33 and 150,050.21 is: 225,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,409.50 : 824,171.33 = 150,050.21 : x
  2. Step 2: Convert to fraction form
    549,409.50/824,171.33 = 150,050.21/x
  3. Step 3: Cross multiply
    549,409.50x = 824,171.33 × 150,050.21
  4. Step 4: Simplify right side
    549,409.50x = 123,667,076,271.37
  5. Step 5: Solve for x
    x = 123,667,076,271.37/549,409.50
  6. Step 6: Final answer
    x = 225,090.90

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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.