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Finding the Fourth Proportional to 159,016.80, 238,525.20 and 96,808.80

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Solution

The fourth proportional to 159,016.80, 238,525.20 and 96,808.80 is: 145,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,016.80 : 238,525.20 = 96,808.80 : x
  2. Step 2: Convert to fraction form
    159,016.80/238,525.20 = 96,808.80/x
  3. Step 3: Cross multiply
    159,016.80x = 238,525.20 × 96,808.80
  4. Step 4: Simplify right side
    159,016.80x = 23,091,338,381.76
  5. Step 5: Solve for x
    x = 23,091,338,381.76/159,016.80
  6. Step 6: Final answer
    x = 145,213.20

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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.