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Finding the Fourth Proportional to 200,603.52, 301,021.92 and 158,224.32

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Solution

The fourth proportional to 200,603.52, 301,021.92 and 158,224.32 is: 237,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,603.52 : 301,021.92 = 158,224.32 : x
  2. Step 2: Convert to fraction form
    200,603.52/301,021.92 = 158,224.32/x
  3. Step 3: Cross multiply
    200,603.52x = 301,021.92 × 158,224.32
  4. Step 4: Simplify right side
    200,603.52x = 47,628,988,597.09
  5. Step 5: Solve for x
    x = 47,628,988,597.09/200,603.52
  6. Step 6: Final answer
    x = 237,428.48

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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.