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Finding the Fourth Proportional to 177,698.66, 266,318.35 and 132,974.51

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Solution

The fourth proportional to 177,698.66, 266,318.35 and 132,974.51 is: 199,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,698.66 : 266,318.35 = 132,974.51 : x
  2. Step 2: Convert to fraction form
    177,698.66/266,318.35 = 132,974.51/x
  3. Step 3: Cross multiply
    177,698.66x = 266,318.35 × 132,974.51
  4. Step 4: Simplify right side
    177,698.66x = 35,413,550,431.23
  5. Step 5: Solve for x
    x = 35,413,550,431.23/177,698.66
  6. Step 6: Final answer
    x = 199,289.92

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