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Finding the Fourth Proportional to 201,116.10, 301,714.65 and 58,961.10

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Solution

The fourth proportional to 201,116.10, 301,714.65 and 58,961.10 is: 88,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116.10 : 301,714.65 = 58,961.10 : x
  2. Step 2: Convert to fraction form
    201,116.10/301,714.65 = 58,961.10/x
  3. Step 3: Cross multiply
    201,116.10x = 301,714.65 × 58,961.10
  4. Step 4: Simplify right side
    201,116.10x = 17,789,427,650.12
  5. Step 5: Solve for x
    x = 17,789,427,650.12/201,116.10
  6. Step 6: Final answer
    x = 88,453.52

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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.