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Finding the Fourth Proportional to 116,136, 160,270.92 and 65,838.24

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Solution

The fourth proportional to 116,136, 160,270.92 and 65,838.24 is: 90,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,136 : 160,270.92 = 65,838.24 : x
  2. Step 2: Convert to fraction form
    116,136/160,270.92 = 65,838.24/x
  3. Step 3: Cross multiply
    116,136x = 160,270.92 × 65,838.24
  4. Step 4: Simplify right side
    116,136x = 10,551,955,295.98
  5. Step 5: Solve for x
    x = 10,551,955,295.98/116,136
  6. Step 6: Final answer
    x = 90,858.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.