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Finding the Fourth Proportional to 256,725.56, 385,154.22 and 106,916.06

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Solution

The fourth proportional to 256,725.56, 385,154.22 and 106,916.06 is: 160,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,725.56 : 385,154.22 = 106,916.06 : x
  2. Step 2: Convert to fraction form
    256,725.56/385,154.22 = 106,916.06/x
  3. Step 3: Cross multiply
    256,725.56x = 385,154.22 × 106,916.06
  4. Step 4: Simplify right side
    256,725.56x = 41,179,171,694.77
  5. Step 5: Solve for x
    x = 41,179,171,694.77/256,725.56
  6. Step 6: Final answer
    x = 160,401.53

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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.