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Finding the Fourth Proportional to 275,302.30, 412,605.12 and 157,040.14

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Solution

The fourth proportional to 275,302.30, 412,605.12 and 157,040.14 is: 235,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,302.30 : 412,605.12 = 157,040.14 : x
  2. Step 2: Convert to fraction form
    275,302.30/412,605.12 = 157,040.14/x
  3. Step 3: Cross multiply
    275,302.30x = 412,605.12 × 157,040.14
  4. Step 4: Simplify right side
    275,302.30x = 64,795,565,809.52
  5. Step 5: Solve for x
    x = 64,795,565,809.52/275,302.30
  6. Step 6: Final answer
    x = 235,361.51

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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.