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Finding the Fourth Proportional to 128,542.70, 192,733.05 and 53,714.90

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Solution

The fourth proportional to 128,542.70, 192,733.05 and 53,714.90 is: 80,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,542.70 : 192,733.05 = 53,714.90 : x
  2. Step 2: Convert to fraction form
    128,542.70/192,733.05 = 53,714.90/x
  3. Step 3: Cross multiply
    128,542.70x = 192,733.05 × 53,714.90
  4. Step 4: Simplify right side
    128,542.70x = 10,352,636,507.45
  5. Step 5: Solve for x
    x = 10,352,636,507.45/128,542.70
  6. Step 6: Final answer
    x = 80,538.50

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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.