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Finding the Fourth Proportional to 270,202.32, 405,241.84 and 101,740.41

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Solution

The fourth proportional to 270,202.32, 405,241.84 and 101,740.41 is: 152,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,202.32 : 405,241.84 = 101,740.41 : x
  2. Step 2: Convert to fraction form
    270,202.32/405,241.84 = 101,740.41/x
  3. Step 3: Cross multiply
    270,202.32x = 405,241.84 × 101,740.41
  4. Step 4: Simplify right side
    270,202.32x = 41,229,470,950.75
  5. Step 5: Solve for x
    x = 41,229,470,950.75/270,202.32
  6. Step 6: Final answer
    x = 152,587.41

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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.