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Finding the Fourth Proportional to 256,099.80, 384,465.60 and 161,329.80

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Solution

The fourth proportional to 256,099.80, 384,465.60 and 161,329.80 is: 242,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.80 : 384,465.60 = 161,329.80 : x
  2. Step 2: Convert to fraction form
    256,099.80/384,465.60 = 161,329.80/x
  3. Step 3: Cross multiply
    256,099.80x = 384,465.60 × 161,329.80
  4. Step 4: Simplify right side
    256,099.80x = 62,025,758,354.88
  5. Step 5: Solve for x
    x = 62,025,758,354.88/256,099.80
  6. Step 6: Final answer
    x = 242,193.70

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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.