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Finding the Fourth Proportional to 200,784.32, 301,066.52 and 92,596.28

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Solution

The fourth proportional to 200,784.32, 301,066.52 and 92,596.28 is: 138,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,784.32 : 301,066.52 = 92,596.28 : x
  2. Step 2: Convert to fraction form
    200,784.32/301,066.52 = 92,596.28/x
  3. Step 3: Cross multiply
    200,784.32x = 301,066.52 × 92,596.28
  4. Step 4: Simplify right side
    200,784.32x = 27,877,639,784.55
  5. Step 5: Solve for x
    x = 27,877,639,784.55/200,784.32
  6. Step 6: Final answer
    x = 138,843.71

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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.