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Finding the Fourth Proportional to 202,956.30, 304,453.65 and 55,212.30

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Solution

The fourth proportional to 202,956.30, 304,453.65 and 55,212.30 is: 82,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,956.30 : 304,453.65 = 55,212.30 : x
  2. Step 2: Convert to fraction form
    202,956.30/304,453.65 = 55,212.30/x
  3. Step 3: Cross multiply
    202,956.30x = 304,453.65 × 55,212.30
  4. Step 4: Simplify right side
    202,956.30x = 16,809,586,259.90
  5. Step 5: Solve for x
    x = 16,809,586,259.90/202,956.30
  6. Step 6: Final answer
    x = 82,823.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.