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Finding the Fourth Proportional to 200,313.80, 276,432.29 and 114,272.63

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Solution

The fourth proportional to 200,313.80, 276,432.29 and 114,272.63 is: 157,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,313.80 : 276,432.29 = 114,272.63 : x
  2. Step 2: Convert to fraction form
    200,313.80/276,432.29 = 114,272.63/x
  3. Step 3: Cross multiply
    200,313.80x = 276,432.29 × 114,272.63
  4. Step 4: Simplify right side
    200,313.80x = 31,588,642,841.70
  5. Step 5: Solve for x
    x = 31,588,642,841.70/200,313.80
  6. Step 6: Final answer
    x = 157,695.79

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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.