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Finding the Fourth Proportional to 116,263, 174,396.18 and 33,157

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Solution

The fourth proportional to 116,263, 174,396.18 and 33,157 is: 49,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,263 : 174,396.18 = 33,157 : x
  2. Step 2: Convert to fraction form
    116,263/174,396.18 = 33,157/x
  3. Step 3: Cross multiply
    116,263x = 174,396.18 × 33,157
  4. Step 4: Simplify right side
    116,263x = 5,782,454,140.26
  5. Step 5: Solve for x
    x = 5,782,454,140.26/116,263
  6. Step 6: Final answer
    x = 49,735.98

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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.