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Finding the Fourth Proportional to 189,201.80, 283,802.70 and 177,537.80

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Solution

The fourth proportional to 189,201.80, 283,802.70 and 177,537.80 is: 266,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,201.80 : 283,802.70 = 177,537.80 : x
  2. Step 2: Convert to fraction form
    189,201.80/283,802.70 = 177,537.80/x
  3. Step 3: Cross multiply
    189,201.80x = 283,802.70 × 177,537.80
  4. Step 4: Simplify right side
    189,201.80x = 50,385,706,992.06
  5. Step 5: Solve for x
    x = 50,385,706,992.06/189,201.80
  6. Step 6: Final answer
    x = 266,306.70

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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.