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Finding the Fourth Proportional to 309,652.25, 464,331.96 and 120,203.37

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Solution

The fourth proportional to 309,652.25, 464,331.96 and 120,203.37 is: 180,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,652.25 : 464,331.96 = 120,203.37 : x
  2. Step 2: Convert to fraction form
    309,652.25/464,331.96 = 120,203.37/x
  3. Step 3: Cross multiply
    309,652.25x = 464,331.96 × 120,203.37
  4. Step 4: Simplify right side
    309,652.25x = 55,814,266,390.71
  5. Step 5: Solve for x
    x = 55,814,266,390.71/309,652.25
  6. Step 6: Final answer
    x = 180,248.22

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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.