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Finding the Fourth Proportional to 256,725, 385,138.80 and 79,225.34

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Solution

The fourth proportional to 256,725, 385,138.80 and 79,225.34 is: 118,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,725 : 385,138.80 = 79,225.34 : x
  2. Step 2: Convert to fraction form
    256,725/385,138.80 = 79,225.34/x
  3. Step 3: Cross multiply
    256,725x = 385,138.80 × 79,225.34
  4. Step 4: Simplify right side
    256,725x = 30,512,750,451.50
  5. Step 5: Solve for x
    x = 30,512,750,451.50/256,725
  6. Step 6: Final answer
    x = 118,853.83

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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.