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Finding the Fourth Proportional to 110,129.84, 164,982.48 and 65,792.08

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Solution

The fourth proportional to 110,129.84, 164,982.48 and 65,792.08 is: 98,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,129.84 : 164,982.48 = 65,792.08 : x
  2. Step 2: Convert to fraction form
    110,129.84/164,982.48 = 65,792.08/x
  3. Step 3: Cross multiply
    110,129.84x = 164,982.48 × 65,792.08
  4. Step 4: Simplify right side
    110,129.84x = 10,854,540,522.76
  5. Step 5: Solve for x
    x = 10,854,540,522.76/110,129.84
  6. Step 6: Final answer
    x = 98,561.30

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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.