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Finding the Fourth Proportional to 227,598, 341,429.44 and 120,954.16

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Solution

The fourth proportional to 227,598, 341,429.44 and 120,954.16 is: 181,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,598 : 341,429.44 = 120,954.16 : x
  2. Step 2: Convert to fraction form
    227,598/341,429.44 = 120,954.16/x
  3. Step 3: Cross multiply
    227,598x = 341,429.44 × 120,954.16
  4. Step 4: Simplify right side
    227,598x = 41,297,311,114.47
  5. Step 5: Solve for x
    x = 41,297,311,114.47/227,598
  6. Step 6: Final answer
    x = 181,448.48

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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.