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Finding the Fourth Proportional to 202,798.50, 304,197.75 and 55,054.50

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Solution

The fourth proportional to 202,798.50, 304,197.75 and 55,054.50 is: 82,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,798.50 : 304,197.75 = 55,054.50 : x
  2. Step 2: Convert to fraction form
    202,798.50/304,197.75 = 55,054.50/x
  3. Step 3: Cross multiply
    202,798.50x = 304,197.75 × 55,054.50
  4. Step 4: Simplify right side
    202,798.50x = 16,747,455,027.38
  5. Step 5: Solve for x
    x = 16,747,455,027.38/202,798.50
  6. Step 6: Final answer
    x = 82,581.75

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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.