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Finding the Fourth Proportional to 116,129.89, 174,202.94 and 46,009

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Solution

The fourth proportional to 116,129.89, 174,202.94 and 46,009 is: 69,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,129.89 : 174,202.94 = 46,009 : x
  2. Step 2: Convert to fraction form
    116,129.89/174,202.94 = 46,009/x
  3. Step 3: Cross multiply
    116,129.89x = 174,202.94 × 46,009
  4. Step 4: Simplify right side
    116,129.89x = 8,014,903,066.46
  5. Step 5: Solve for x
    x = 8,014,903,066.46/116,129.89
  6. Step 6: Final answer
    x = 69,016.71

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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.