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Finding the Fourth Proportional to 200,339.15, 276,465.42 and 114,295.88

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Solution

The fourth proportional to 200,339.15, 276,465.42 and 114,295.88 is: 157,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,339.15 : 276,465.42 = 114,295.88 : x
  2. Step 2: Convert to fraction form
    200,339.15/276,465.42 = 114,295.88/x
  3. Step 3: Cross multiply
    200,339.15x = 276,465.42 × 114,295.88
  4. Step 4: Simplify right side
    200,339.15x = 31,598,859,159.63
  5. Step 5: Solve for x
    x = 31,598,859,159.63/200,339.15
  6. Step 6: Final answer
    x = 157,726.83

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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.