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Finding the Fourth Proportional to 202,919.64, 304,018.32 and 173,034.30

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Solution

The fourth proportional to 202,919.64, 304,018.32 and 173,034.30 is: 259,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,919.64 : 304,018.32 = 173,034.30 : x
  2. Step 2: Convert to fraction form
    202,919.64/304,018.32 = 173,034.30/x
  3. Step 3: Cross multiply
    202,919.64x = 304,018.32 × 173,034.30
  4. Step 4: Simplify right side
    202,919.64x = 52,605,597,188.38
  5. Step 5: Solve for x
    x = 52,605,597,188.38/202,919.64
  6. Step 6: Final answer
    x = 259,243.50

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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.