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Finding the Fourth Proportional to 203,877.40, 305,864.70 and 98,609.80

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Solution

The fourth proportional to 203,877.40, 305,864.70 and 98,609.80 is: 147,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,877.40 : 305,864.70 = 98,609.80 : x
  2. Step 2: Convert to fraction form
    203,877.40/305,864.70 = 98,609.80/x
  3. Step 3: Cross multiply
    203,877.40x = 305,864.70 × 98,609.80
  4. Step 4: Simplify right side
    203,877.40x = 30,161,256,894.06
  5. Step 5: Solve for x
    x = 30,161,256,894.06/203,877.40
  6. Step 6: Final answer
    x = 147,938.21

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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.