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Finding the Fourth Proportional to 160,834.40, 241,405.20 and 137,487.20

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Solution

The fourth proportional to 160,834.40, 241,405.20 and 137,487.20 is: 206,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,834.40 : 241,405.20 = 137,487.20 : x
  2. Step 2: Convert to fraction form
    160,834.40/241,405.20 = 137,487.20/x
  3. Step 3: Cross multiply
    160,834.40x = 241,405.20 × 137,487.20
  4. Step 4: Simplify right side
    160,834.40x = 33,190,125,013.44
  5. Step 5: Solve for x
    x = 33,190,125,013.44/160,834.40
  6. Step 6: Final answer
    x = 206,362.10

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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.