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Finding the Fourth Proportional to 116,185.08, 160,384.26 and 78,510.36

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Solution

The fourth proportional to 116,185.08, 160,384.26 and 78,510.36 is: 108,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,185.08 : 160,384.26 = 78,510.36 : x
  2. Step 2: Convert to fraction form
    116,185.08/160,384.26 = 78,510.36/x
  3. Step 3: Cross multiply
    116,185.08x = 160,384.26 × 78,510.36
  4. Step 4: Simplify right side
    116,185.08x = 12,591,825,990.93
  5. Step 5: Solve for x
    x = 12,591,825,990.93/116,185.08
  6. Step 6: Final answer
    x = 108,377.31

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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.