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Finding the Fourth Proportional to 129,128.14, 193,712.25 and 65,914.03

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Solution

The fourth proportional to 129,128.14, 193,712.25 and 65,914.03 is: 98,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,128.14 : 193,712.25 = 65,914.03 : x
  2. Step 2: Convert to fraction form
    129,128.14/193,712.25 = 65,914.03/x
  3. Step 3: Cross multiply
    129,128.14x = 193,712.25 × 65,914.03
  4. Step 4: Simplify right side
    129,128.14x = 12,768,355,057.87
  5. Step 5: Solve for x
    x = 12,768,355,057.87/129,128.14
  6. Step 6: Final answer
    x = 98,881.27

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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.