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Finding the Fourth Proportional to 263,186.93, 363,193.44 and 148,465.82

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Solution

The fourth proportional to 263,186.93, 363,193.44 and 148,465.82 is: 204,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,186.93 : 363,193.44 = 148,465.82 : x
  2. Step 2: Convert to fraction form
    263,186.93/363,193.44 = 148,465.82/x
  3. Step 3: Cross multiply
    263,186.93x = 363,193.44 × 148,465.82
  4. Step 4: Simplify right side
    263,186.93x = 53,921,811,888.22
  5. Step 5: Solve for x
    x = 53,921,811,888.22/263,186.93
  6. Step 6: Final answer
    x = 204,880.28

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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.