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Finding the Fourth Proportional to 152,960.20, 229,216.20 and 137,165.20

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Solution

The fourth proportional to 152,960.20, 229,216.20 and 137,165.20 is: 205,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,960.20 : 229,216.20 = 137,165.20 : x
  2. Step 2: Convert to fraction form
    152,960.20/229,216.20 = 137,165.20/x
  3. Step 3: Cross multiply
    152,960.20x = 229,216.20 × 137,165.20
  4. Step 4: Simplify right side
    152,960.20x = 31,440,485,916.24
  5. Step 5: Solve for x
    x = 31,440,485,916.24/152,960.20
  6. Step 6: Final answer
    x = 205,546.84

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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.