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Finding the Fourth Proportional to 202,148.60, 302,858.40 and 96,735.20

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Solution

The fourth proportional to 202,148.60, 302,858.40 and 96,735.20 is: 144,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148.60 : 302,858.40 = 96,735.20 : x
  2. Step 2: Convert to fraction form
    202,148.60/302,858.40 = 96,735.20/x
  3. Step 3: Cross multiply
    202,148.60x = 302,858.40 × 96,735.20
  4. Step 4: Simplify right side
    202,148.60x = 29,297,067,895.68
  5. Step 5: Solve for x
    x = 29,297,067,895.68/202,148.60
  6. Step 6: Final answer
    x = 144,928.37

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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.