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Finding the Fourth Proportional to 270,612.16, 405,909.84 and 128,559.66

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Solution

The fourth proportional to 270,612.16, 405,909.84 and 128,559.66 is: 192,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,612.16 : 405,909.84 = 128,559.66 : x
  2. Step 2: Convert to fraction form
    270,612.16/405,909.84 = 128,559.66/x
  3. Step 3: Cross multiply
    270,612.16x = 405,909.84 × 128,559.66
  4. Step 4: Simplify right side
    270,612.16x = 52,183,631,021.05
  5. Step 5: Solve for x
    x = 52,183,631,021.05/270,612.16
  6. Step 6: Final answer
    x = 192,835.50

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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.