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Finding the Fourth Proportional to 202,921.64, 304,021.32 and 173,036.30

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Solution

The fourth proportional to 202,921.64, 304,021.32 and 173,036.30 is: 259,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,921.64 : 304,021.32 = 173,036.30 : x
  2. Step 2: Convert to fraction form
    202,921.64/304,021.32 = 173,036.30/x
  3. Step 3: Cross multiply
    202,921.64x = 304,021.32 × 173,036.30
  4. Step 4: Simplify right side
    202,921.64x = 52,606,724,333.92
  5. Step 5: Solve for x
    x = 52,606,724,333.92/202,921.64
  6. Step 6: Final answer
    x = 259,246.50

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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.