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Finding the Fourth Proportional to 231,487.36, 319,586.40 and 154,023.84

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Solution

The fourth proportional to 231,487.36, 319,586.40 and 154,023.84 is: 212,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,487.36 : 319,586.40 = 154,023.84 : x
  2. Step 2: Convert to fraction form
    231,487.36/319,586.40 = 154,023.84/x
  3. Step 3: Cross multiply
    231,487.36x = 319,586.40 × 154,023.84
  4. Step 4: Simplify right side
    231,487.36x = 49,223,924,539.78
  5. Step 5: Solve for x
    x = 49,223,924,539.78/231,487.36
  6. Step 6: Final answer
    x = 212,641.95

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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.