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Finding the Fourth Proportional to 169,421.10, 253,840.05 and 110,226.30

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Solution

The fourth proportional to 169,421.10, 253,840.05 and 110,226.30 is: 165,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,421.10 : 253,840.05 = 110,226.30 : x
  2. Step 2: Convert to fraction form
    169,421.10/253,840.05 = 110,226.30/x
  3. Step 3: Cross multiply
    169,421.10x = 253,840.05 × 110,226.30
  4. Step 4: Simplify right side
    169,421.10x = 27,979,849,503.32
  5. Step 5: Solve for x
    x = 27,979,849,503.32/169,421.10
  6. Step 6: Final answer
    x = 165,149.73

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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.