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Finding the Fourth Proportional to 281,861.48, 388,665.06 and 214,002.92

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Solution

The fourth proportional to 281,861.48, 388,665.06 and 214,002.92 is: 295,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,861.48 : 388,665.06 = 214,002.92 : x
  2. Step 2: Convert to fraction form
    281,861.48/388,665.06 = 214,002.92/x
  3. Step 3: Cross multiply
    281,861.48x = 388,665.06 × 214,002.92
  4. Step 4: Simplify right side
    281,861.48x = 83,175,457,741.98
  5. Step 5: Solve for x
    x = 83,175,457,741.98/281,861.48
  6. Step 6: Final answer
    x = 295,093.38

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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.