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Finding the Fourth Proportional to 256,774.24, 385,252.56 and 114,606.64

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Solution

The fourth proportional to 256,774.24, 385,252.56 and 114,606.64 is: 171,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,774.24 : 385,252.56 = 114,606.64 : x
  2. Step 2: Convert to fraction form
    256,774.24/385,252.56 = 114,606.64/x
  3. Step 3: Cross multiply
    256,774.24x = 385,252.56 × 114,606.64
  4. Step 4: Simplify right side
    256,774.24x = 44,152,501,453.00
  5. Step 5: Solve for x
    x = 44,152,501,453.00/256,774.24
  6. Step 6: Final answer
    x = 171,950.67

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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.