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Finding the Fourth Proportional to 169,226.16, 253,861.02 and 56,857.92

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Solution

The fourth proportional to 169,226.16, 253,861.02 and 56,857.92 is: 85,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,226.16 : 253,861.02 = 56,857.92 : x
  2. Step 2: Convert to fraction form
    169,226.16/253,861.02 = 56,857.92/x
  3. Step 3: Cross multiply
    169,226.16x = 253,861.02 × 56,857.92
  4. Step 4: Simplify right side
    169,226.16x = 14,434,009,566.28
  5. Step 5: Solve for x
    x = 14,434,009,566.28/169,226.16
  6. Step 6: Final answer
    x = 85,294.20

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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.