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Finding the Fourth Proportional to 357,142.23, 492,865.88 and 196,003.01

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Solution

The fourth proportional to 357,142.23, 492,865.88 and 196,003.01 is: 270,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,142.23 : 492,865.88 = 196,003.01 : x
  2. Step 2: Convert to fraction form
    357,142.23/492,865.88 = 196,003.01/x
  3. Step 3: Cross multiply
    357,142.23x = 492,865.88 × 196,003.01
  4. Step 4: Simplify right side
    357,142.23x = 96,603,196,258.45
  5. Step 5: Solve for x
    x = 96,603,196,258.45/357,142.23
  6. Step 6: Final answer
    x = 270,489.42

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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.