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Finding the Fourth Proportional to 199,203.54, 274,890.29 and 114,315

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Solution

The fourth proportional to 199,203.54, 274,890.29 and 114,315 is: 157,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,203.54 : 274,890.29 = 114,315 : x
  2. Step 2: Convert to fraction form
    199,203.54/274,890.29 = 114,315/x
  3. Step 3: Cross multiply
    199,203.54x = 274,890.29 × 114,315
  4. Step 4: Simplify right side
    199,203.54x = 31,424,082,929.78
  5. Step 5: Solve for x
    x = 31,424,082,929.78/199,203.54
  6. Step 6: Final answer
    x = 157,748.62

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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.