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Finding the Fourth Proportional to 137,025, 205,482.96 and 52,738.20

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Solution

The fourth proportional to 137,025, 205,482.96 and 52,738.20 is: 79,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,025 : 205,482.96 = 52,738.20 : x
  2. Step 2: Convert to fraction form
    137,025/205,482.96 = 52,738.20/x
  3. Step 3: Cross multiply
    137,025x = 205,482.96 × 52,738.20
  4. Step 4: Simplify right side
    137,025x = 10,836,801,441.07
  5. Step 5: Solve for x
    x = 10,836,801,441.07/137,025
  6. Step 6: Final answer
    x = 79,086.31

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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.