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Finding the Fourth Proportional to 116,076.70, 174,319.26 and 114,414.58

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Solution

The fourth proportional to 116,076.70, 174,319.26 and 114,414.58 is: 171,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,076.70 : 174,319.26 = 114,414.58 : x
  2. Step 2: Convert to fraction form
    116,076.70/174,319.26 = 114,414.58/x
  3. Step 3: Cross multiply
    116,076.70x = 174,319.26 × 114,414.58
  4. Step 4: Simplify right side
    116,076.70x = 19,944,664,918.81
  5. Step 5: Solve for x
    x = 19,944,664,918.81/116,076.70
  6. Step 6: Final answer
    x = 171,823.16

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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.