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Finding the Fourth Proportional to 243,977.20, 365,965.80 and 160,266.40

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Solution

The fourth proportional to 243,977.20, 365,965.80 and 160,266.40 is: 240,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,977.20 : 365,965.80 = 160,266.40 : x
  2. Step 2: Convert to fraction form
    243,977.20/365,965.80 = 160,266.40/x
  3. Step 3: Cross multiply
    243,977.20x = 365,965.80 × 160,266.40
  4. Step 4: Simplify right side
    243,977.20x = 58,652,021,289.12
  5. Step 5: Solve for x
    x = 58,652,021,289.12/243,977.20
  6. Step 6: Final answer
    x = 240,399.60

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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.