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Finding the Fourth Proportional to 200,048.40, 276,100.74 and 115,214.58

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Solution

The fourth proportional to 200,048.40, 276,100.74 and 115,214.58 is: 159,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,048.40 : 276,100.74 = 115,214.58 : x
  2. Step 2: Convert to fraction form
    200,048.40/276,100.74 = 115,214.58/x
  3. Step 3: Cross multiply
    200,048.40x = 276,100.74 × 115,214.58
  4. Step 4: Simplify right side
    200,048.40x = 31,810,830,796.79
  5. Step 5: Solve for x
    x = 31,810,830,796.79/200,048.40
  6. Step 6: Final answer
    x = 159,015.67

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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.