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Finding the Fourth Proportional to 154,554.40, 231,831.60 and 106,861.60

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Solution

The fourth proportional to 154,554.40, 231,831.60 and 106,861.60 is: 160,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,554.40 : 231,831.60 = 106,861.60 : x
  2. Step 2: Convert to fraction form
    154,554.40/231,831.60 = 106,861.60/x
  3. Step 3: Cross multiply
    154,554.40x = 231,831.60 × 106,861.60
  4. Step 4: Simplify right side
    154,554.40x = 24,773,895,706.56
  5. Step 5: Solve for x
    x = 24,773,895,706.56/154,554.40
  6. Step 6: Final answer
    x = 160,292.40

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Why These Related Problems?

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