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Finding the Fourth Proportional to 169,098.87, 253,652.40 and 56,782.76

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Solution

The fourth proportional to 169,098.87, 253,652.40 and 56,782.76 is: 85,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,098.87 : 253,652.40 = 56,782.76 : x
  2. Step 2: Convert to fraction form
    169,098.87/253,652.40 = 56,782.76/x
  3. Step 3: Cross multiply
    169,098.87x = 253,652.40 × 56,782.76
  4. Step 4: Simplify right side
    169,098.87x = 14,403,082,084.36
  5. Step 5: Solve for x
    x = 14,403,082,084.36/169,098.87
  6. Step 6: Final answer
    x = 85,175.51

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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.