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Finding the Fourth Proportional to 196,214.85, 270,803.99 and 114,569.82

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Solution

The fourth proportional to 196,214.85, 270,803.99 and 114,569.82 is: 158,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,214.85 : 270,803.99 = 114,569.82 : x
  2. Step 2: Convert to fraction form
    196,214.85/270,803.99 = 114,569.82/x
  3. Step 3: Cross multiply
    196,214.85x = 270,803.99 × 114,569.82
  4. Step 4: Simplify right side
    196,214.85x = 31,025,964,389.58
  5. Step 5: Solve for x
    x = 31,025,964,389.58/196,214.85
  6. Step 6: Final answer
    x = 158,122.41

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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.