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Finding the Fourth Proportional to 210,429.72, 290,401.47 and 114,940.44

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Solution

The fourth proportional to 210,429.72, 290,401.47 and 114,940.44 is: 158,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,429.72 : 290,401.47 = 114,940.44 : x
  2. Step 2: Convert to fraction form
    210,429.72/290,401.47 = 114,940.44/x
  3. Step 3: Cross multiply
    210,429.72x = 290,401.47 × 114,940.44
  4. Step 4: Simplify right side
    210,429.72x = 33,378,872,738.45
  5. Step 5: Solve for x
    x = 33,378,872,738.45/210,429.72
  6. Step 6: Final answer
    x = 158,622.43

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