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Finding the Fourth Proportional to 154,292.70, 231,381.45 and 107,406.30

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Solution

The fourth proportional to 154,292.70, 231,381.45 and 107,406.30 is: 161,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,292.70 : 231,381.45 = 107,406.30 : x
  2. Step 2: Convert to fraction form
    154,292.70/231,381.45 = 107,406.30/x
  3. Step 3: Cross multiply
    154,292.70x = 231,381.45 × 107,406.30
  4. Step 4: Simplify right side
    154,292.70x = 24,851,825,433.14
  5. Step 5: Solve for x
    x = 24,851,825,433.14/154,292.70
  6. Step 6: Final answer
    x = 161,069.35

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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.