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Finding the Fourth Proportional to 169,135.36, 253,741.98 and 50,809

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Solution

The fourth proportional to 169,135.36, 253,741.98 and 50,809 is: 76,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,135.36 : 253,741.98 = 50,809 : x
  2. Step 2: Convert to fraction form
    169,135.36/253,741.98 = 50,809/x
  3. Step 3: Cross multiply
    169,135.36x = 253,741.98 × 50,809
  4. Step 4: Simplify right side
    169,135.36x = 12,892,376,261.82
  5. Step 5: Solve for x
    x = 12,892,376,261.82/169,135.36
  6. Step 6: Final answer
    x = 76,225.20

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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.