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Finding the Fourth Proportional to 257,083.76, 385,123.44 and 177,107.60

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Solution

The fourth proportional to 257,083.76, 385,123.44 and 177,107.60 is: 265,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,083.76 : 385,123.44 = 177,107.60 : x
  2. Step 2: Convert to fraction form
    257,083.76/385,123.44 = 177,107.60/x
  3. Step 3: Cross multiply
    257,083.76x = 385,123.44 × 177,107.60
  4. Step 4: Simplify right side
    257,083.76x = 68,208,288,162.14
  5. Step 5: Solve for x
    x = 68,208,288,162.14/257,083.76
  6. Step 6: Final answer
    x = 265,315.43

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1.5x scale

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.