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Finding the Fourth Proportional to 256,030.24, 383,679.30 and 188,028.88

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Solution

The fourth proportional to 256,030.24, 383,679.30 and 188,028.88 is: 281,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,030.24 : 383,679.30 = 188,028.88 : x
  2. Step 2: Convert to fraction form
    256,030.24/383,679.30 = 188,028.88/x
  3. Step 3: Cross multiply
    256,030.24x = 383,679.30 × 188,028.88
  4. Step 4: Simplify right side
    256,030.24x = 72,142,789,058.18
  5. Step 5: Solve for x
    x = 72,142,789,058.18/256,030.24
  6. Step 6: Final answer
    x = 281,774.49

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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.