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Finding the Fourth Proportional to 106,203.10, 146,542.62 and 70,441.60

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Solution

The fourth proportional to 106,203.10, 146,542.62 and 70,441.60 is: 97,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203.10 : 146,542.62 = 70,441.60 : x
  2. Step 2: Convert to fraction form
    106,203.10/146,542.62 = 70,441.60/x
  3. Step 3: Cross multiply
    106,203.10x = 146,542.62 × 70,441.60
  4. Step 4: Simplify right side
    106,203.10x = 10,322,696,620.99
  5. Step 5: Solve for x
    x = 10,322,696,620.99/106,203.10
  6. Step 6: Final answer
    x = 97,197.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.