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Finding the Fourth Proportional to 224,751.49, 309,867.64 and 160,294.22

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Solution

The fourth proportional to 224,751.49, 309,867.64 and 160,294.22 is: 220,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,751.49 : 309,867.64 = 160,294.22 : x
  2. Step 2: Convert to fraction form
    224,751.49/309,867.64 = 160,294.22/x
  3. Step 3: Cross multiply
    224,751.49x = 309,867.64 × 160,294.22
  4. Step 4: Simplify right side
    224,751.49x = 49,669,991,657.04
  5. Step 5: Solve for x
    x = 49,669,991,657.04/224,751.49
  6. Step 6: Final answer
    x = 220,999.61

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Why These Related Problems?

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