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Finding the Fourth Proportional to 240,444.24, 360,699.12 and 100,170

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Solution

The fourth proportional to 240,444.24, 360,699.12 and 100,170 is: 150,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,444.24 : 360,699.12 = 100,170 : x
  2. Step 2: Convert to fraction form
    240,444.24/360,699.12 = 100,170/x
  3. Step 3: Cross multiply
    240,444.24x = 360,699.12 × 100,170
  4. Step 4: Simplify right side
    240,444.24x = 36,131,230,850.40
  5. Step 5: Solve for x
    x = 36,131,230,850.40/240,444.24
  6. Step 6: Final answer
    x = 150,268.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.