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Finding the Fourth Proportional to 257,787.35, 386,223.50 and 107,697.32

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Solution

The fourth proportional to 257,787.35, 386,223.50 and 107,697.32 is: 161,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,787.35 : 386,223.50 = 107,697.32 : x
  2. Step 2: Convert to fraction form
    257,787.35/386,223.50 = 107,697.32/x
  3. Step 3: Cross multiply
    257,787.35x = 386,223.50 × 107,697.32
  4. Step 4: Simplify right side
    257,787.35x = 41,595,233,401.42
  5. Step 5: Solve for x
    x = 41,595,233,401.42/257,787.35
  6. Step 6: Final answer
    x = 161,354.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.