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Finding the Fourth Proportional to 256,045.96, 384,125.82 and 98,274.52

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Solution

The fourth proportional to 256,045.96, 384,125.82 and 98,274.52 is: 147,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,045.96 : 384,125.82 = 98,274.52 : x
  2. Step 2: Convert to fraction form
    256,045.96/384,125.82 = 98,274.52/x
  3. Step 3: Cross multiply
    256,045.96x = 384,125.82 × 98,274.52
  4. Step 4: Simplify right side
    256,045.96x = 37,749,780,580.11
  5. Step 5: Solve for x
    x = 37,749,780,580.11/256,045.96
  6. Step 6: Final answer
    x = 147,433.61

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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.