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Finding the Fourth Proportional to 199,202.40, 298,840.32 and 57,041.64

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Solution

The fourth proportional to 199,202.40, 298,840.32 and 57,041.64 is: 85,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,202.40 : 298,840.32 = 57,041.64 : x
  2. Step 2: Convert to fraction form
    199,202.40/298,840.32 = 57,041.64/x
  3. Step 3: Cross multiply
    199,202.40x = 298,840.32 × 57,041.64
  4. Step 4: Simplify right side
    199,202.40x = 17,046,341,950.92
  5. Step 5: Solve for x
    x = 17,046,341,950.92/199,202.40
  6. Step 6: Final answer
    x = 85,572.97

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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.