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Finding the Fourth Proportional to 231,796.96, 319,929.72 and 141,182.80

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Solution

The fourth proportional to 231,796.96, 319,929.72 and 141,182.80 is: 194,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,796.96 : 319,929.72 = 141,182.80 : x
  2. Step 2: Convert to fraction form
    231,796.96/319,929.72 = 141,182.80/x
  3. Step 3: Cross multiply
    231,796.96x = 319,929.72 × 141,182.80
  4. Step 4: Simplify right side
    231,796.96x = 45,168,573,672.82
  5. Step 5: Solve for x
    x = 45,168,573,672.82/231,796.96
  6. Step 6: Final answer
    x = 194,862.67

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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.