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Finding the Fourth Proportional to 148,286.40, 222,386.40 and 53,505.60

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Solution

The fourth proportional to 148,286.40, 222,386.40 and 53,505.60 is: 80,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,286.40 : 222,386.40 = 53,505.60 : x
  2. Step 2: Convert to fraction form
    148,286.40/222,386.40 = 53,505.60/x
  3. Step 3: Cross multiply
    148,286.40x = 222,386.40 × 53,505.60
  4. Step 4: Simplify right side
    148,286.40x = 11,898,917,763.84
  5. Step 5: Solve for x
    x = 11,898,917,763.84/148,286.40
  6. Step 6: Final answer
    x = 80,242.81

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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.