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Finding the Fourth Proportional to 169,100.80, 253,662.13 and 56,776.48

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Solution

The fourth proportional to 169,100.80, 253,662.13 and 56,776.48 is: 85,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,100.80 : 253,662.13 = 56,776.48 : x
  2. Step 2: Convert to fraction form
    169,100.80/253,662.13 = 56,776.48/x
  3. Step 3: Cross multiply
    169,100.80x = 253,662.13 × 56,776.48
  4. Step 4: Simplify right side
    169,100.80x = 14,402,042,850.70
  5. Step 5: Solve for x
    x = 14,402,042,850.70/169,100.80
  6. Step 6: Final answer
    x = 85,168.39

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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.