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Finding the Fourth Proportional to 200,784.31, 301,174.84 and 51,025.03

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Solution

The fourth proportional to 200,784.31, 301,174.84 and 51,025.03 is: 76,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,784.31 : 301,174.84 = 51,025.03 : x
  2. Step 2: Convert to fraction form
    200,784.31/301,174.84 = 51,025.03/x
  3. Step 3: Cross multiply
    200,784.31x = 301,174.84 × 51,025.03
  4. Step 4: Simplify right side
    200,784.31x = 15,367,455,246.25
  5. Step 5: Solve for x
    x = 15,367,455,246.25/200,784.31
  6. Step 6: Final answer
    x = 76,537.13

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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.