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Finding the Fourth Proportional to 200,416.82, 276,506.55 and 114,313.93

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Solution

The fourth proportional to 200,416.82, 276,506.55 and 114,313.93 is: 157,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,416.82 : 276,506.55 = 114,313.93 : x
  2. Step 2: Convert to fraction form
    200,416.82/276,506.55 = 114,313.93/x
  3. Step 3: Cross multiply
    200,416.82x = 276,506.55 × 114,313.93
  4. Step 4: Simplify right side
    200,416.82x = 31,608,549,709.98
  5. Step 5: Solve for x
    x = 31,608,549,709.98/200,416.82
  6. Step 6: Final answer
    x = 157,714.06

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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.