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Finding the Fourth Proportional to 116,792.70, 161,005.96 and 83,200.38

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Solution

The fourth proportional to 116,792.70, 161,005.96 and 83,200.38 is: 114,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,792.70 : 161,005.96 = 83,200.38 : x
  2. Step 2: Convert to fraction form
    116,792.70/161,005.96 = 83,200.38/x
  3. Step 3: Cross multiply
    116,792.70x = 161,005.96 × 83,200.38
  4. Step 4: Simplify right side
    116,792.70x = 13,395,757,054.26
  5. Step 5: Solve for x
    x = 13,395,757,054.26/116,792.70
  6. Step 6: Final answer
    x = 114,696.87

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1.5x scale

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.