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Finding the Fourth Proportional to 200,370.86, 276,509.16 and 114,327.58

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Solution

The fourth proportional to 200,370.86, 276,509.16 and 114,327.58 is: 157,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,370.86 : 276,509.16 = 114,327.58 : x
  2. Step 2: Convert to fraction form
    200,370.86/276,509.16 = 114,327.58/x
  3. Step 3: Cross multiply
    200,370.86x = 276,509.16 × 114,327.58
  4. Step 4: Simplify right side
    200,370.86x = 31,612,623,110.63
  5. Step 5: Solve for x
    x = 31,612,623,110.63/200,370.86
  6. Step 6: Final answer
    x = 157,770.56

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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.