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Finding the Fourth Proportional to 281,114.72, 421,728.52 and 103,622.64

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Solution

The fourth proportional to 281,114.72, 421,728.52 and 103,622.64 is: 155,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,114.72 : 421,728.52 = 103,622.64 : x
  2. Step 2: Convert to fraction form
    281,114.72/421,728.52 = 103,622.64/x
  3. Step 3: Cross multiply
    281,114.72x = 421,728.52 × 103,622.64
  4. Step 4: Simplify right side
    281,114.72x = 43,700,622,605.69
  5. Step 5: Solve for x
    x = 43,700,622,605.69/281,114.72
  6. Step 6: Final answer
    x = 155,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.