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Finding the Fourth Proportional to 109,850.80, 164,448.15 and 65,454.70

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Solution

The fourth proportional to 109,850.80, 164,448.15 and 65,454.70 is: 97,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,850.80 : 164,448.15 = 65,454.70 : x
  2. Step 2: Convert to fraction form
    109,850.80/164,448.15 = 65,454.70/x
  3. Step 3: Cross multiply
    109,850.80x = 164,448.15 × 65,454.70
  4. Step 4: Simplify right side
    109,850.80x = 10,763,904,323.81
  5. Step 5: Solve for x
    x = 10,763,904,323.81/109,850.80
  6. Step 6: Final answer
    x = 97,986.58

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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.