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Finding the Fourth Proportional to 128,881.13, 193,063.01 and 65,698.70

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Solution

The fourth proportional to 128,881.13, 193,063.01 and 65,698.70 is: 98,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,881.13 : 193,063.01 = 65,698.70 : x
  2. Step 2: Convert to fraction form
    128,881.13/193,063.01 = 65,698.70/x
  3. Step 3: Cross multiply
    128,881.13x = 193,063.01 × 65,698.70
  4. Step 4: Simplify right side
    128,881.13x = 12,683,987,481.28
  5. Step 5: Solve for x
    x = 12,683,987,481.28/128,881.13
  6. Step 6: Final answer
    x = 98,416.18

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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.