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Finding the Fourth Proportional to 204,344.46, 282,034.41 and 135,312.18

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Solution

The fourth proportional to 204,344.46, 282,034.41 and 135,312.18 is: 186,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,344.46 : 282,034.41 = 135,312.18 : x
  2. Step 2: Convert to fraction form
    204,344.46/282,034.41 = 135,312.18/x
  3. Step 3: Cross multiply
    204,344.46x = 282,034.41 × 135,312.18
  4. Step 4: Simplify right side
    204,344.46x = 38,162,690,852.11
  5. Step 5: Solve for x
    x = 38,162,690,852.11/204,344.46
  6. Step 6: Final answer
    x = 186,756.67

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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.