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Finding the Fourth Proportional to 256,843.20, 385,149.60 and 116,529.60

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Solution

The fourth proportional to 256,843.20, 385,149.60 and 116,529.60 is: 174,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,843.20 : 385,149.60 = 116,529.60 : x
  2. Step 2: Convert to fraction form
    256,843.20/385,149.60 = 116,529.60/x
  3. Step 3: Cross multiply
    256,843.20x = 385,149.60 × 116,529.60
  4. Step 4: Simplify right side
    256,843.20x = 44,881,328,828.16
  5. Step 5: Solve for x
    x = 44,881,328,828.16/256,843.20
  6. Step 6: Final answer
    x = 174,742.13

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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.