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Finding the Fourth Proportional to 256,246.24, 383,622.04 and 149,303.76

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Solution

The fourth proportional to 256,246.24, 383,622.04 and 149,303.76 is: 223,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,246.24 : 383,622.04 = 149,303.76 : x
  2. Step 2: Convert to fraction form
    256,246.24/383,622.04 = 149,303.76/x
  3. Step 3: Cross multiply
    256,246.24x = 383,622.04 × 149,303.76
  4. Step 4: Simplify right side
    256,246.24x = 57,276,212,990.87
  5. Step 5: Solve for x
    x = 57,276,212,990.87/256,246.24
  6. Step 6: Final answer
    x = 223,520.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.