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Finding the Fourth Proportional to 200,732.60, 301,139.40 and 58,577.60

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Solution

The fourth proportional to 200,732.60, 301,139.40 and 58,577.60 is: 87,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732.60 : 301,139.40 = 58,577.60 : x
  2. Step 2: Convert to fraction form
    200,732.60/301,139.40 = 58,577.60/x
  3. Step 3: Cross multiply
    200,732.60x = 301,139.40 × 58,577.60
  4. Step 4: Simplify right side
    200,732.60x = 17,640,023,317.44
  5. Step 5: Solve for x
    x = 17,640,023,317.44/200,732.60
  6. Step 6: Final answer
    x = 87,878.22

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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.