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Finding the Fourth Proportional to 133,041.60, 199,076.40 and 98,049.60

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Solution

The fourth proportional to 133,041.60, 199,076.40 and 98,049.60 is: 146,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041.60 : 199,076.40 = 98,049.60 : x
  2. Step 2: Convert to fraction form
    133,041.60/199,076.40 = 98,049.60/x
  3. Step 3: Cross multiply
    133,041.60x = 199,076.40 × 98,049.60
  4. Step 4: Simplify right side
    133,041.60x = 19,519,361,389.44
  5. Step 5: Solve for x
    x = 19,519,361,389.44/133,041.60
  6. Step 6: Final answer
    x = 146,716.23

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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.