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Finding the Fourth Proportional to 257,110.20, 385,665.30 and 182,314.80

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Solution

The fourth proportional to 257,110.20, 385,665.30 and 182,314.80 is: 273,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,110.20 : 385,665.30 = 182,314.80 : x
  2. Step 2: Convert to fraction form
    257,110.20/385,665.30 = 182,314.80/x
  3. Step 3: Cross multiply
    257,110.20x = 385,665.30 × 182,314.80
  4. Step 4: Simplify right side
    257,110.20x = 70,312,492,036.44
  5. Step 5: Solve for x
    x = 70,312,492,036.44/257,110.20
  6. Step 6: Final answer
    x = 273,472.20

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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.