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Finding the Fourth Proportional to 205,253.68, 283,235.16 and 119,173.36

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Solution

The fourth proportional to 205,253.68, 283,235.16 and 119,173.36 is: 164,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,253.68 : 283,235.16 = 119,173.36 : x
  2. Step 2: Convert to fraction form
    205,253.68/283,235.16 = 119,173.36/x
  3. Step 3: Cross multiply
    205,253.68x = 283,235.16 × 119,173.36
  4. Step 4: Simplify right side
    205,253.68x = 33,754,085,687.34
  5. Step 5: Solve for x
    x = 33,754,085,687.34/205,253.68
  6. Step 6: Final answer
    x = 164,450.57

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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.