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Finding the Fourth Proportional to 169,100.64, 253,689.84 and 50,774.22

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Solution

The fourth proportional to 169,100.64, 253,689.84 and 50,774.22 is: 76,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,100.64 : 253,689.84 = 50,774.22 : x
  2. Step 2: Convert to fraction form
    169,100.64/253,689.84 = 50,774.22/x
  3. Step 3: Cross multiply
    169,100.64x = 253,689.84 × 50,774.22
  4. Step 4: Simplify right side
    169,100.64x = 12,880,903,747.92
  5. Step 5: Solve for x
    x = 12,880,903,747.92/169,100.64
  6. Step 6: Final answer
    x = 76,173.00

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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.