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Finding the Fourth Proportional to 164,025, 226,354.50 and 88,573.50

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Solution

The fourth proportional to 164,025, 226,354.50 and 88,573.50 is: 122,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,025 : 226,354.50 = 88,573.50 : x
  2. Step 2: Convert to fraction form
    164,025/226,354.50 = 88,573.50/x
  3. Step 3: Cross multiply
    164,025x = 226,354.50 × 88,573.50
  4. Step 4: Simplify right side
    164,025x = 20,049,010,305.75
  5. Step 5: Solve for x
    x = 20,049,010,305.75/164,025
  6. Step 6: Final answer
    x = 122,231.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.