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Finding the Fourth Proportional to 105,178.40, 157,767.60 and 96,576.80

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Solution

The fourth proportional to 105,178.40, 157,767.60 and 96,576.80 is: 144,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,178.40 : 157,767.60 = 96,576.80 : x
  2. Step 2: Convert to fraction form
    105,178.40/157,767.60 = 96,576.80/x
  3. Step 3: Cross multiply
    105,178.40x = 157,767.60 × 96,576.80
  4. Step 4: Simplify right side
    105,178.40x = 15,236,689,951.68
  5. Step 5: Solve for x
    x = 15,236,689,951.68/105,178.40
  6. Step 6: Final answer
    x = 144,865.20

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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.