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Finding the Fourth Proportional to 177,991, 266,779.14 and 99,067.48

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Solution

The fourth proportional to 177,991, 266,779.14 and 99,067.48 is: 148,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,991 : 266,779.14 = 99,067.48 : x
  2. Step 2: Convert to fraction form
    177,991/266,779.14 = 99,067.48/x
  3. Step 3: Cross multiply
    177,991x = 266,779.14 × 99,067.48
  4. Step 4: Simplify right side
    177,991x = 26,429,137,116.37
  5. Step 5: Solve for x
    x = 26,429,137,116.37/177,991
  6. Step 6: Final answer
    x = 148,485.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.