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Finding the Fourth Proportional to 253,467.32, 349,773.90 and 140,283.32

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Solution

The fourth proportional to 253,467.32, 349,773.90 and 140,283.32 is: 193,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,467.32 : 349,773.90 = 140,283.32 : x
  2. Step 2: Convert to fraction form
    253,467.32/349,773.90 = 140,283.32/x
  3. Step 3: Cross multiply
    253,467.32x = 349,773.90 × 140,283.32
  4. Step 4: Simplify right side
    253,467.32x = 49,067,443,941.35
  5. Step 5: Solve for x
    x = 49,067,443,941.35/253,467.32
  6. Step 6: Final answer
    x = 193,584.89

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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.