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Finding the Fourth Proportional to 256,083.20, 384,124.80 and 145,491.20

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Solution

The fourth proportional to 256,083.20, 384,124.80 and 145,491.20 is: 218,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,083.20 : 384,124.80 = 145,491.20 : x
  2. Step 2: Convert to fraction form
    256,083.20/384,124.80 = 145,491.20/x
  3. Step 3: Cross multiply
    256,083.20x = 384,124.80 × 145,491.20
  4. Step 4: Simplify right side
    256,083.20x = 55,886,778,101.76
  5. Step 5: Solve for x
    x = 55,886,778,101.76/256,083.20
  6. Step 6: Final answer
    x = 218,236.80

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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.