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Finding the Fourth Proportional to 200,736.60, 301,145.40 and 58,581.60

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Solution

The fourth proportional to 200,736.60, 301,145.40 and 58,581.60 is: 87,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736.60 : 301,145.40 = 58,581.60 : x
  2. Step 2: Convert to fraction form
    200,736.60/301,145.40 = 58,581.60/x
  3. Step 3: Cross multiply
    200,736.60x = 301,145.40 × 58,581.60
  4. Step 4: Simplify right side
    200,736.60x = 17,641,579,364.64
  5. Step 5: Solve for x
    x = 17,641,579,364.64/200,736.60
  6. Step 6: Final answer
    x = 87,884.22

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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.