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Finding the Fourth Proportional to 200,986.88, 301,486.74 and 101,092.52

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Solution

The fourth proportional to 200,986.88, 301,486.74 and 101,092.52 is: 151,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,986.88 : 301,486.74 = 101,092.52 : x
  2. Step 2: Convert to fraction form
    200,986.88/301,486.74 = 101,092.52/x
  3. Step 3: Cross multiply
    200,986.88x = 301,486.74 × 101,092.52
  4. Step 4: Simplify right side
    200,986.88x = 30,478,054,293.18
  5. Step 5: Solve for x
    x = 30,478,054,293.18/200,986.88
  6. Step 6: Final answer
    x = 151,642.01

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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.