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Finding the Fourth Proportional to 213,452.46, 319,483.62 and 157,270.14

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Solution

The fourth proportional to 213,452.46, 319,483.62 and 157,270.14 is: 235,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,452.46 : 319,483.62 = 157,270.14 : x
  2. Step 2: Convert to fraction form
    213,452.46/319,483.62 = 157,270.14/x
  3. Step 3: Cross multiply
    213,452.46x = 319,483.62 × 157,270.14
  4. Step 4: Simplify right side
    213,452.46x = 50,245,233,645.11
  5. Step 5: Solve for x
    x = 50,245,233,645.11/213,452.46
  6. Step 6: Final answer
    x = 235,393.09

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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.