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Finding the Fourth Proportional to 200,514.57, 276,699.55 and 114,470.16

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Solution

The fourth proportional to 200,514.57, 276,699.55 and 114,470.16 is: 157,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,514.57 : 276,699.55 = 114,470.16 : x
  2. Step 2: Convert to fraction form
    200,514.57/276,699.55 = 114,470.16/x
  3. Step 3: Cross multiply
    200,514.57x = 276,699.55 × 114,470.16
  4. Step 4: Simplify right side
    200,514.57x = 31,673,841,760.43
  5. Step 5: Solve for x
    x = 31,673,841,760.43/200,514.57
  6. Step 6: Final answer
    x = 157,962.79

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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.