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Finding the Fourth Proportional to 200,437.29, 276,588.45 and 114,393.88

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Solution

The fourth proportional to 200,437.29, 276,588.45 and 114,393.88 is: 157,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,437.29 : 276,588.45 = 114,393.88 : x
  2. Step 2: Convert to fraction form
    200,437.29/276,588.45 = 114,393.88/x
  3. Step 3: Cross multiply
    200,437.29x = 276,588.45 × 114,393.88
  4. Step 4: Simplify right side
    200,437.29x = 31,640,025,267.21
  5. Step 5: Solve for x
    x = 31,640,025,267.21/200,437.29
  6. Step 6: Final answer
    x = 157,854.98

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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.