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Finding the Fourth Proportional to 280,814.70, 387,593.93 and 160,027.65

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Solution

The fourth proportional to 280,814.70, 387,593.93 and 160,027.65 is: 220,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,814.70 : 387,593.93 = 160,027.65 : x
  2. Step 2: Convert to fraction form
    280,814.70/387,593.93 = 160,027.65/x
  3. Step 3: Cross multiply
    280,814.70x = 387,593.93 × 160,027.65
  4. Step 4: Simplify right side
    280,814.70x = 62,025,744,972.03
  5. Step 5: Solve for x
    x = 62,025,744,972.03/280,814.70
  6. Step 6: Final answer
    x = 220,877.84

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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.