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Finding the Fourth Proportional to 159,930.80, 239,435.40 and 97,722.80

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Solution

The fourth proportional to 159,930.80, 239,435.40 and 97,722.80 is: 146,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,930.80 : 239,435.40 = 97,722.80 : x
  2. Step 2: Convert to fraction form
    159,930.80/239,435.40 = 97,722.80/x
  3. Step 3: Cross multiply
    159,930.80x = 239,435.40 × 97,722.80
  4. Step 4: Simplify right side
    159,930.80x = 23,398,297,707.12
  5. Step 5: Solve for x
    x = 23,398,297,707.12/159,930.80
  6. Step 6: Final answer
    x = 146,302.64

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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.