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Finding the Fourth Proportional to 159,701.80, 239,091.90 and 97,493.80

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Solution

The fourth proportional to 159,701.80, 239,091.90 and 97,493.80 is: 145,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,701.80 : 239,091.90 = 97,493.80 : x
  2. Step 2: Convert to fraction form
    159,701.80/239,091.90 = 97,493.80/x
  3. Step 3: Cross multiply
    159,701.80x = 239,091.90 × 97,493.80
  4. Step 4: Simplify right side
    159,701.80x = 23,309,977,880.22
  5. Step 5: Solve for x
    x = 23,309,977,880.22/159,701.80
  6. Step 6: Final answer
    x = 145,959.39

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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.