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Finding the Fourth Proportional to 106,802.60, 160,187.10 and 67,238.60

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Solution

The fourth proportional to 106,802.60, 160,187.10 and 67,238.60 is: 100,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,802.60 : 160,187.10 = 67,238.60 : x
  2. Step 2: Convert to fraction form
    106,802.60/160,187.10 = 67,238.60/x
  3. Step 3: Cross multiply
    106,802.60x = 160,187.10 × 67,238.60
  4. Step 4: Simplify right side
    106,802.60x = 10,770,756,342.06
  5. Step 5: Solve for x
    x = 10,770,756,342.06/106,802.60
  6. Step 6: Final answer
    x = 100,847.32

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1.5x scale

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.