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Finding the Fourth Proportional to 224,153.08, 308,905.84 and 160,379.80

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Solution

The fourth proportional to 224,153.08, 308,905.84 and 160,379.80 is: 221,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,153.08 : 308,905.84 = 160,379.80 : x
  2. Step 2: Convert to fraction form
    224,153.08/308,905.84 = 160,379.80/x
  3. Step 3: Cross multiply
    224,153.08x = 308,905.84 × 160,379.80
  4. Step 4: Simplify right side
    224,153.08x = 49,542,256,838.03
  5. Step 5: Solve for x
    x = 49,542,256,838.03/224,153.08
  6. Step 6: Final answer
    x = 221,019.75

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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.