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Finding the Fourth Proportional to 256,617.90, 384,811.65 and 98,793.90

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Solution

The fourth proportional to 256,617.90, 384,811.65 and 98,793.90 is: 148,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,617.90 : 384,811.65 = 98,793.90 : x
  2. Step 2: Convert to fraction form
    256,617.90/384,811.65 = 98,793.90/x
  3. Step 3: Cross multiply
    256,617.90x = 384,811.65 × 98,793.90
  4. Step 4: Simplify right side
    256,617.90x = 38,017,043,668.94
  5. Step 5: Solve for x
    x = 38,017,043,668.94/256,617.90
  6. Step 6: Final answer
    x = 148,146.50

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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.