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Finding the Fourth Proportional to 199,765.92, 275,685 and 114,882.96

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Solution

The fourth proportional to 199,765.92, 275,685 and 114,882.96 is: 158,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,765.92 : 275,685 = 114,882.96 : x
  2. Step 2: Convert to fraction form
    199,765.92/275,685 = 114,882.96/x
  3. Step 3: Cross multiply
    199,765.92x = 275,685 × 114,882.96
  4. Step 4: Simplify right side
    199,765.92x = 31,671,508,827.60
  5. Step 5: Solve for x
    x = 31,671,508,827.60/199,765.92
  6. Step 6: Final answer
    x = 158,543.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.