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Finding the Fourth Proportional to 200,900.64, 301,435.50 and 125,062.66

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Solution

The fourth proportional to 200,900.64, 301,435.50 and 125,062.66 is: 187,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,900.64 : 301,435.50 = 125,062.66 : x
  2. Step 2: Convert to fraction form
    200,900.64/301,435.50 = 125,062.66/x
  3. Step 3: Cross multiply
    200,900.64x = 301,435.50 × 125,062.66
  4. Step 4: Simplify right side
    200,900.64x = 37,698,323,315.94
  5. Step 5: Solve for x
    x = 37,698,323,315.94/200,900.64
  6. Step 6: Final answer
    x = 187,646.61

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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.