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Finding the Fourth Proportional to 225,990.34, 311,817.95 and 130,441.68

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Solution

The fourth proportional to 225,990.34, 311,817.95 and 130,441.68 is: 179,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,990.34 : 311,817.95 = 130,441.68 : x
  2. Step 2: Convert to fraction form
    225,990.34/311,817.95 = 130,441.68/x
  3. Step 3: Cross multiply
    225,990.34x = 311,817.95 × 130,441.68
  4. Step 4: Simplify right side
    225,990.34x = 40,674,057,578.26
  5. Step 5: Solve for x
    x = 40,674,057,578.26/225,990.34
  6. Step 6: Final answer
    x = 179,981.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.