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Finding the Fourth Proportional to 357,133.10, 492,849.78 and 196,003.14

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Solution

The fourth proportional to 357,133.10, 492,849.78 and 196,003.14 is: 270,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,133.10 : 492,849.78 = 196,003.14 : x
  2. Step 2: Convert to fraction form
    357,133.10/492,849.78 = 196,003.14/x
  3. Step 3: Cross multiply
    357,133.10x = 492,849.78 × 196,003.14
  4. Step 4: Simplify right side
    357,133.10x = 96,600,104,428.31
  5. Step 5: Solve for x
    x = 96,600,104,428.31/357,133.10
  6. Step 6: Final answer
    x = 270,487.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.