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Finding the Fourth Proportional to 152,994.42, 229,626.50 and 81,975.24

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Solution

The fourth proportional to 152,994.42, 229,626.50 and 81,975.24 is: 123,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,994.42 : 229,626.50 = 81,975.24 : x
  2. Step 2: Convert to fraction form
    152,994.42/229,626.50 = 81,975.24/x
  3. Step 3: Cross multiply
    152,994.42x = 229,626.50 × 81,975.24
  4. Step 4: Simplify right side
    152,994.42x = 18,823,687,037.98
  5. Step 5: Solve for x
    x = 18,823,687,037.98/152,994.42
  6. Step 6: Final answer
    x = 123,035.12

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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.