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Finding the Fourth Proportional to 280,809.27, 387,586.43 and 160,022.21

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Solution

The fourth proportional to 280,809.27, 387,586.43 and 160,022.21 is: 220,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,809.27 : 387,586.43 = 160,022.21 : x
  2. Step 2: Convert to fraction form
    280,809.27/387,586.43 = 160,022.21/x
  3. Step 3: Cross multiply
    280,809.27x = 387,586.43 × 160,022.21
  4. Step 4: Simplify right side
    280,809.27x = 62,022,434,356.57
  5. Step 5: Solve for x
    x = 62,022,434,356.57/280,809.27
  6. Step 6: Final answer
    x = 220,870.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.