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Finding the Fourth Proportional to 116,158.87, 174,228.72 and 82,284.96

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Solution

The fourth proportional to 116,158.87, 174,228.72 and 82,284.96 is: 123,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,158.87 : 174,228.72 = 82,284.96 : x
  2. Step 2: Convert to fraction form
    116,158.87/174,228.72 = 82,284.96/x
  3. Step 3: Cross multiply
    116,158.87x = 174,228.72 × 82,284.96
  4. Step 4: Simplify right side
    116,158.87x = 14,336,403,256.05
  5. Step 5: Solve for x
    x = 14,336,403,256.05/116,158.87
  6. Step 6: Final answer
    x = 123,420.65

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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.