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Finding the Fourth Proportional to 231,495.08, 319,475.63 and 129,514.46

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Solution

The fourth proportional to 231,495.08, 319,475.63 and 129,514.46 is: 178,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,495.08 : 319,475.63 = 129,514.46 : x
  2. Step 2: Convert to fraction form
    231,495.08/319,475.63 = 129,514.46/x
  3. Step 3: Cross multiply
    231,495.08x = 319,475.63 × 129,514.46
  4. Step 4: Simplify right side
    231,495.08x = 41,376,712,429.02
  5. Step 5: Solve for x
    x = 41,376,712,429.02/231,495.08
  6. Step 6: Final answer
    x = 178,736.90

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