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Finding the Fourth Proportional to 200,399.34, 276,552.93 and 136,735.77

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Solution

The fourth proportional to 200,399.34, 276,552.93 and 136,735.77 is: 188,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,399.34 : 276,552.93 = 136,735.77 : x
  2. Step 2: Convert to fraction form
    200,399.34/276,552.93 = 136,735.77/x
  3. Step 3: Cross multiply
    200,399.34x = 276,552.93 × 136,735.77
  4. Step 4: Simplify right side
    200,399.34x = 37,814,677,829.31
  5. Step 5: Solve for x
    x = 37,814,677,829.31/200,399.34
  6. Step 6: Final answer
    x = 188,696.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.