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Finding the Fourth Proportional to 202,170.15, 302,624.16 and 148,922.16

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Solution

The fourth proportional to 202,170.15, 302,624.16 and 148,922.16 is: 222,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,170.15 : 302,624.16 = 148,922.16 : x
  2. Step 2: Convert to fraction form
    202,170.15/302,624.16 = 148,922.16/x
  3. Step 3: Cross multiply
    202,170.15x = 302,624.16 × 148,922.16
  4. Step 4: Simplify right side
    202,170.15x = 45,067,443,575.39
  5. Step 5: Solve for x
    x = 45,067,443,575.39/202,170.15
  6. Step 6: Final answer
    x = 222,918.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.