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Finding the Fourth Proportional to 116,640.16, 174,917.22 and 41,740

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Solution

The fourth proportional to 116,640.16, 174,917.22 and 41,740 is: 62,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,640.16 : 174,917.22 = 41,740 : x
  2. Step 2: Convert to fraction form
    116,640.16/174,917.22 = 41,740/x
  3. Step 3: Cross multiply
    116,640.16x = 174,917.22 × 41,740
  4. Step 4: Simplify right side
    116,640.16x = 7,301,044,762.80
  5. Step 5: Solve for x
    x = 7,301,044,762.80/116,640.16
  6. Step 6: Final answer
    x = 62,594.61

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