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Finding the Fourth Proportional to 200,355.57, 276,488.06 and 114,312.33

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Solution

The fourth proportional to 200,355.57, 276,488.06 and 114,312.33 is: 157,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,355.57 : 276,488.06 = 114,312.33 : x
  2. Step 2: Convert to fraction form
    200,355.57/276,488.06 = 114,312.33/x
  3. Step 3: Cross multiply
    200,355.57x = 276,488.06 × 114,312.33
  4. Step 4: Simplify right side
    200,355.57x = 31,605,993,784.22
  5. Step 5: Solve for x
    x = 31,605,993,784.22/200,355.57
  6. Step 6: Final answer
    x = 157,749.51

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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.