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Finding the Fourth Proportional to 256,633.02, 385,015.14 and 106,823.52

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Solution

The fourth proportional to 256,633.02, 385,015.14 and 106,823.52 is: 160,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,633.02 : 385,015.14 = 106,823.52 : x
  2. Step 2: Convert to fraction form
    256,633.02/385,015.14 = 106,823.52/x
  3. Step 3: Cross multiply
    256,633.02x = 385,015.14 × 106,823.52
  4. Step 4: Simplify right side
    256,633.02x = 41,128,672,508.09
  5. Step 5: Solve for x
    x = 41,128,672,508.09/256,633.02
  6. Step 6: Final answer
    x = 160,262.59

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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.