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Finding the Fourth Proportional to 164,893.56, 247,311.66 and 76,139.52

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Solution

The fourth proportional to 164,893.56, 247,311.66 and 76,139.52 is: 114,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,893.56 : 247,311.66 = 76,139.52 : x
  2. Step 2: Convert to fraction form
    164,893.56/247,311.66 = 76,139.52/x
  3. Step 3: Cross multiply
    164,893.56x = 247,311.66 × 76,139.52
  4. Step 4: Simplify right side
    164,893.56x = 18,830,191,082.80
  5. Step 5: Solve for x
    x = 18,830,191,082.80/164,893.56
  6. Step 6: Final answer
    x = 114,196.04

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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.