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Finding the Fourth Proportional to 104,735.70, 157,431.60 and 102,767.40

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Solution

The fourth proportional to 104,735.70, 157,431.60 and 102,767.40 is: 154,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,735.70 : 157,431.60 = 102,767.40 : x
  2. Step 2: Convert to fraction form
    104,735.70/157,431.60 = 102,767.40/x
  3. Step 3: Cross multiply
    104,735.70x = 157,431.60 × 102,767.40
  4. Step 4: Simplify right side
    104,735.70x = 16,178,836,209.84
  5. Step 5: Solve for x
    x = 16,178,836,209.84/104,735.70
  6. Step 6: Final answer
    x = 154,472.98

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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.