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Finding the Fourth Proportional to 136,271.30, 204,443.40 and 96,905.30

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Solution

The fourth proportional to 136,271.30, 204,443.40 and 96,905.30 is: 145,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,271.30 : 204,443.40 = 96,905.30 : x
  2. Step 2: Convert to fraction form
    136,271.30/204,443.40 = 96,905.30/x
  3. Step 3: Cross multiply
    136,271.30x = 204,443.40 × 96,905.30
  4. Step 4: Simplify right side
    136,271.30x = 19,811,649,010.02
  5. Step 5: Solve for x
    x = 19,811,649,010.02/136,271.30
  6. Step 6: Final answer
    x = 145,383.87

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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.