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Finding the Fourth Proportional to 202,663.92, 304,002 and 69,542.32

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Solution

The fourth proportional to 202,663.92, 304,002 and 69,542.32 is: 104,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,663.92 : 304,002 = 69,542.32 : x
  2. Step 2: Convert to fraction form
    202,663.92/304,002 = 69,542.32/x
  3. Step 3: Cross multiply
    202,663.92x = 304,002 × 69,542.32
  4. Step 4: Simplify right side
    202,663.92x = 21,141,004,364.64
  5. Step 5: Solve for x
    x = 21,141,004,364.64/202,663.92
  6. Step 6: Final answer
    x = 104,315.58

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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.