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Finding the Fourth Proportional to 256,237.70, 384,356.55 and 114,082.70

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Solution

The fourth proportional to 256,237.70, 384,356.55 and 114,082.70 is: 171,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,237.70 : 384,356.55 = 114,082.70 : x
  2. Step 2: Convert to fraction form
    256,237.70/384,356.55 = 114,082.70/x
  3. Step 3: Cross multiply
    256,237.70x = 384,356.55 × 114,082.70
  4. Step 4: Simplify right side
    256,237.70x = 43,848,432,986.69
  5. Step 5: Solve for x
    x = 43,848,432,986.69/256,237.70
  6. Step 6: Final answer
    x = 171,124.05

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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.