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Finding the Fourth Proportional to 231,178.01, 319,019.65 and 129,204.32

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Solution

The fourth proportional to 231,178.01, 319,019.65 and 129,204.32 is: 178,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,178.01 : 319,019.65 = 129,204.32 : x
  2. Step 2: Convert to fraction form
    231,178.01/319,019.65 = 129,204.32/x
  3. Step 3: Cross multiply
    231,178.01x = 319,019.65 × 129,204.32
  4. Step 4: Simplify right side
    231,178.01x = 41,218,715,026.78
  5. Step 5: Solve for x
    x = 41,218,715,026.78/231,178.01
  6. Step 6: Final answer
    x = 178,298.60

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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.