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Finding the Fourth Proportional to 200,300.42, 276,398.24 and 114,258.98

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Solution

The fourth proportional to 200,300.42, 276,398.24 and 114,258.98 is: 157,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,300.42 : 276,398.24 = 114,258.98 : x
  2. Step 2: Convert to fraction form
    200,300.42/276,398.24 = 114,258.98/x
  3. Step 3: Cross multiply
    200,300.42x = 276,398.24 × 114,258.98
  4. Step 4: Simplify right side
    200,300.42x = 31,580,980,976.20
  5. Step 5: Solve for x
    x = 31,580,980,976.20/200,300.42
  6. Step 6: Final answer
    x = 157,668.07

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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.