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Finding the Fourth Proportional to 116,591.24, 174,944.64 and 77,137.76

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Solution

The fourth proportional to 116,591.24, 174,944.64 and 77,137.76 is: 115,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,591.24 : 174,944.64 = 77,137.76 : x
  2. Step 2: Convert to fraction form
    116,591.24/174,944.64 = 77,137.76/x
  3. Step 3: Cross multiply
    116,591.24x = 174,944.64 × 77,137.76
  4. Step 4: Simplify right side
    116,591.24x = 13,494,837,653.61
  5. Step 5: Solve for x
    x = 13,494,837,653.61/116,591.24
  6. Step 6: Final answer
    x = 115,744.87

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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.