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Finding the Fourth Proportional to 170,463.83, 255,724.43 and 52,107.50

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Solution

The fourth proportional to 170,463.83, 255,724.43 and 52,107.50 is: 78,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,463.83 : 255,724.43 = 52,107.50 : x
  2. Step 2: Convert to fraction form
    170,463.83/255,724.43 = 52,107.50/x
  3. Step 3: Cross multiply
    170,463.83x = 255,724.43 × 52,107.50
  4. Step 4: Simplify right side
    170,463.83x = 13,325,161,115.00
  5. Step 5: Solve for x
    x = 13,325,161,115.00/170,463.83
  6. Step 6: Final answer
    x = 78,170.02

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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.