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Finding the Fourth Proportional to 116,456.54, 160,684.34 and 74,077.34

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Solution

The fourth proportional to 116,456.54, 160,684.34 and 74,077.34 is: 102,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,456.54 : 160,684.34 = 74,077.34 : x
  2. Step 2: Convert to fraction form
    116,456.54/160,684.34 = 74,077.34/x
  3. Step 3: Cross multiply
    116,456.54x = 160,684.34 × 74,077.34
  4. Step 4: Simplify right side
    116,456.54x = 11,903,067,313.05
  5. Step 5: Solve for x
    x = 11,903,067,313.05/116,456.54
  6. Step 6: Final answer
    x = 102,210.39

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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.