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Finding the Fourth Proportional to 263,365.26, 363,448.74 and 148,666.83

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Solution

The fourth proportional to 263,365.26, 363,448.74 and 148,666.83 is: 205,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,365.26 : 363,448.74 = 148,666.83 : x
  2. Step 2: Convert to fraction form
    263,365.26/363,448.74 = 148,666.83/x
  3. Step 3: Cross multiply
    263,365.26x = 363,448.74 × 148,666.83
  4. Step 4: Simplify right side
    263,365.26x = 54,032,772,043.29
  5. Step 5: Solve for x
    x = 54,032,772,043.29/263,365.26
  6. Step 6: Final answer
    x = 205,162.87

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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.