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Finding the Fourth Proportional to 231,714.88, 319,692.22 and 129,725.35

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Solution

The fourth proportional to 231,714.88, 319,692.22 and 129,725.35 is: 178,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,714.88 : 319,692.22 = 129,725.35 : x
  2. Step 2: Convert to fraction form
    231,714.88/319,692.22 = 129,725.35/x
  3. Step 3: Cross multiply
    231,714.88x = 319,692.22 × 129,725.35
  4. Step 4: Simplify right side
    231,714.88x = 41,472,185,131.78
  5. Step 5: Solve for x
    x = 41,472,185,131.78/231,714.88
  6. Step 6: Final answer
    x = 178,979.38

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1.5x scale

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.