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Finding the Fourth Proportional to 375,205.26, 517,779.32 and 203,119.38

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Solution

The fourth proportional to 375,205.26, 517,779.32 and 203,119.38 is: 280,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,205.26 : 517,779.32 = 203,119.38 : x
  2. Step 2: Convert to fraction form
    375,205.26/517,779.32 = 203,119.38/x
  3. Step 3: Cross multiply
    375,205.26x = 517,779.32 × 203,119.38
  4. Step 4: Simplify right side
    375,205.26x = 105,171,014,455.22
  5. Step 5: Solve for x
    x = 105,171,014,455.22/375,205.26
  6. Step 6: Final answer
    x = 280,302.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.