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Finding the Fourth Proportional to 116,667.51, 160,992.81 and 65,677.60

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Solution

The fourth proportional to 116,667.51, 160,992.81 and 65,677.60 is: 90,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,667.51 : 160,992.81 = 65,677.60 : x
  2. Step 2: Convert to fraction form
    116,667.51/160,992.81 = 65,677.60/x
  3. Step 3: Cross multiply
    116,667.51x = 160,992.81 × 65,677.60
  4. Step 4: Simplify right side
    116,667.51x = 10,573,621,378.06
  5. Step 5: Solve for x
    x = 10,573,621,378.06/116,667.51
  6. Step 6: Final answer
    x = 90,630.39

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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.