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Finding the Fourth Proportional to 256,432.38, 384,609.69 and 90,181.50

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Solution

The fourth proportional to 256,432.38, 384,609.69 and 90,181.50 is: 135,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,432.38 : 384,609.69 = 90,181.50 : x
  2. Step 2: Convert to fraction form
    256,432.38/384,609.69 = 90,181.50/x
  3. Step 3: Cross multiply
    256,432.38x = 384,609.69 × 90,181.50
  4. Step 4: Simplify right side
    256,432.38x = 34,684,678,758.74
  5. Step 5: Solve for x
    x = 34,684,678,758.74/256,432.38
  6. Step 6: Final answer
    x = 135,258.58

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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.