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Finding the Fourth Proportional to 227,361.37, 340,948.22 and 77,613.74

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Solution

The fourth proportional to 227,361.37, 340,948.22 and 77,613.74 is: 116,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,361.37 : 340,948.22 = 77,613.74 : x
  2. Step 2: Convert to fraction form
    227,361.37/340,948.22 = 77,613.74/x
  3. Step 3: Cross multiply
    227,361.37x = 340,948.22 × 77,613.74
  4. Step 4: Simplify right side
    227,361.37x = 26,462,264,795.80
  5. Step 5: Solve for x
    x = 26,462,264,795.80/227,361.37
  6. Step 6: Final answer
    x = 116,388.57

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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.