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Finding the Fourth Proportional to 256,014.76, 383,988.41 and 76,096.35

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Solution

The fourth proportional to 256,014.76, 383,988.41 and 76,096.35 is: 114,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,014.76 : 383,988.41 = 76,096.35 : x
  2. Step 2: Convert to fraction form
    256,014.76/383,988.41 = 76,096.35/x
  3. Step 3: Cross multiply
    256,014.76x = 383,988.41 × 76,096.35
  4. Step 4: Simplify right side
    256,014.76x = 29,220,116,443.30
  5. Step 5: Solve for x
    x = 29,220,116,443.30/256,014.76
  6. Step 6: Final answer
    x = 114,134.50

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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.