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Finding the Fourth Proportional to 201,754.36, 302,359.38 and 77,027.32

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Solution

The fourth proportional to 201,754.36, 302,359.38 and 77,027.32 is: 115,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,754.36 : 302,359.38 = 77,027.32 : x
  2. Step 2: Convert to fraction form
    201,754.36/302,359.38 = 77,027.32/x
  3. Step 3: Cross multiply
    201,754.36x = 302,359.38 × 77,027.32
  4. Step 4: Simplify right side
    201,754.36x = 23,289,932,718.26
  5. Step 5: Solve for x
    x = 23,289,932,718.26/201,754.36
  6. Step 6: Final answer
    x = 115,437.07

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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.