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Finding the Fourth Proportional to 256,818.20, 385,688.10 and 186,776.60

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Solution

The fourth proportional to 256,818.20, 385,688.10 and 186,776.60 is: 280,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,818.20 : 385,688.10 = 186,776.60 : x
  2. Step 2: Convert to fraction form
    256,818.20/385,688.10 = 186,776.60/x
  3. Step 3: Cross multiply
    256,818.20x = 385,688.10 × 186,776.60
  4. Step 4: Simplify right side
    256,818.20x = 72,037,511,978.46
  5. Step 5: Solve for x
    x = 72,037,511,978.46/256,818.20
  6. Step 6: Final answer
    x = 280,500.03

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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.