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Finding the Fourth Proportional to 116,097, 174,136.32 and 37,190.04

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Solution

The fourth proportional to 116,097, 174,136.32 and 37,190.04 is: 55,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097 : 174,136.32 = 37,190.04 : x
  2. Step 2: Convert to fraction form
    116,097/174,136.32 = 37,190.04/x
  3. Step 3: Cross multiply
    116,097x = 174,136.32 × 37,190.04
  4. Step 4: Simplify right side
    116,097x = 6,476,136,706.25
  5. Step 5: Solve for x
    x = 6,476,136,706.25/116,097
  6. Step 6: Final answer
    x = 55,782.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.