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Finding the Fourth Proportional to 116,650.64, 174,978.66 and 41,775.92

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Solution

The fourth proportional to 116,650.64, 174,978.66 and 41,775.92 is: 62,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,650.64 : 174,978.66 = 41,775.92 : x
  2. Step 2: Convert to fraction form
    116,650.64/174,978.66 = 41,775.92/x
  3. Step 3: Cross multiply
    116,650.64x = 174,978.66 × 41,775.92
  4. Step 4: Simplify right side
    116,650.64x = 7,309,894,501.87
  5. Step 5: Solve for x
    x = 7,309,894,501.87/116,650.64
  6. Step 6: Final answer
    x = 62,664.85

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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.