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Finding the Fourth Proportional to 160,165.36, 220,975.37 and 102,836.80

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Solution

The fourth proportional to 160,165.36, 220,975.37 and 102,836.80 is: 141,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,165.36 : 220,975.37 = 102,836.80 : x
  2. Step 2: Convert to fraction form
    160,165.36/220,975.37 = 102,836.80/x
  3. Step 3: Cross multiply
    160,165.36x = 220,975.37 × 102,836.80
  4. Step 4: Simplify right side
    160,165.36x = 22,724,399,248.63
  5. Step 5: Solve for x
    x = 22,724,399,248.63/160,165.36
  6. Step 6: Final answer
    x = 141,880.86

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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.