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Finding the Fourth Proportional to 116,856, 175,213.84 and 53,596.88

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Solution

The fourth proportional to 116,856, 175,213.84 and 53,596.88 is: 80,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,856 : 175,213.84 = 53,596.88 : x
  2. Step 2: Convert to fraction form
    116,856/175,213.84 = 53,596.88/x
  3. Step 3: Cross multiply
    116,856x = 175,213.84 × 53,596.88
  4. Step 4: Simplify right side
    116,856x = 9,390,915,156.82
  5. Step 5: Solve for x
    x = 9,390,915,156.82/116,856
  6. Step 6: Final answer
    x = 80,363.14

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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.