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Finding the Fourth Proportional to 160,732.68, 241,152.62 and 106,909.56

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Solution

The fourth proportional to 160,732.68, 241,152.62 and 106,909.56 is: 160,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,732.68 : 241,152.62 = 106,909.56 : x
  2. Step 2: Convert to fraction form
    160,732.68/241,152.62 = 106,909.56/x
  3. Step 3: Cross multiply
    160,732.68x = 241,152.62 × 106,909.56
  4. Step 4: Simplify right side
    160,732.68x = 25,781,519,962.50
  5. Step 5: Solve for x
    x = 25,781,519,962.50/160,732.68
  6. Step 6: Final answer
    x = 160,399.99

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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.