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Finding the Fourth Proportional to 256,892.60, 385,338.90 and 109,148.60

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Solution

The fourth proportional to 256,892.60, 385,338.90 and 109,148.60 is: 163,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,892.60 : 385,338.90 = 109,148.60 : x
  2. Step 2: Convert to fraction form
    256,892.60/385,338.90 = 109,148.60/x
  3. Step 3: Cross multiply
    256,892.60x = 385,338.90 × 109,148.60
  4. Step 4: Simplify right side
    256,892.60x = 42,059,201,460.54
  5. Step 5: Solve for x
    x = 42,059,201,460.54/256,892.60
  6. Step 6: Final answer
    x = 163,722.90

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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.