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Finding the Fourth Proportional to 357,219.09, 492,968.72 and 196,089.14

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Solution

The fourth proportional to 357,219.09, 492,968.72 and 196,089.14 is: 270,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,219.09 : 492,968.72 = 196,089.14 : x
  2. Step 2: Convert to fraction form
    357,219.09/492,968.72 = 196,089.14/x
  3. Step 3: Cross multiply
    357,219.09x = 492,968.72 × 196,089.14
  4. Step 4: Simplify right side
    357,219.09x = 96,665,808,906.41
  5. Step 5: Solve for x
    x = 96,665,808,906.41/357,219.09
  6. Step 6: Final answer
    x = 270,606.50

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Why These Related Problems?

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