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Finding the Fourth Proportional to 127,977.30, 192,052.35 and 83,495.70

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Solution

The fourth proportional to 127,977.30, 192,052.35 and 83,495.70 is: 125,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,977.30 : 192,052.35 = 83,495.70 : x
  2. Step 2: Convert to fraction form
    127,977.30/192,052.35 = 83,495.70/x
  3. Step 3: Cross multiply
    127,977.30x = 192,052.35 × 83,495.70
  4. Step 4: Simplify right side
    127,977.30x = 16,035,545,399.90
  5. Step 5: Solve for x
    x = 16,035,545,399.90/127,977.30
  6. Step 6: Final answer
    x = 125,299.92

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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.