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Finding the Fourth Proportional to 128,971.89, 193,564.44 and 65,838.66

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Solution

The fourth proportional to 128,971.89, 193,564.44 and 65,838.66 is: 98,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,971.89 : 193,564.44 = 65,838.66 : x
  2. Step 2: Convert to fraction form
    128,971.89/193,564.44 = 65,838.66/x
  3. Step 3: Cross multiply
    128,971.89x = 193,564.44 × 65,838.66
  4. Step 4: Simplify right side
    128,971.89x = 12,744,023,353.25
  5. Step 5: Solve for x
    x = 12,744,023,353.25/128,971.89
  6. Step 6: Final answer
    x = 98,812.41

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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.