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Finding the Fourth Proportional to 202,960.30, 304,459.65 and 55,216.30

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Solution

The fourth proportional to 202,960.30, 304,459.65 and 55,216.30 is: 82,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960.30 : 304,459.65 = 55,216.30 : x
  2. Step 2: Convert to fraction form
    202,960.30/304,459.65 = 55,216.30/x
  3. Step 3: Cross multiply
    202,960.30x = 304,459.65 × 55,216.30
  4. Step 4: Simplify right side
    202,960.30x = 16,811,135,372.30
  5. Step 5: Solve for x
    x = 16,811,135,372.30/202,960.30
  6. Step 6: Final answer
    x = 82,829.67

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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.