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Finding the Fourth Proportional to 154,681.80, 232,022.70 and 107,442.60

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Solution

The fourth proportional to 154,681.80, 232,022.70 and 107,442.60 is: 161,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,681.80 : 232,022.70 = 107,442.60 : x
  2. Step 2: Convert to fraction form
    154,681.80/232,022.70 = 107,442.60/x
  3. Step 3: Cross multiply
    154,681.80x = 232,022.70 × 107,442.60
  4. Step 4: Simplify right side
    154,681.80x = 24,929,122,147.02
  5. Step 5: Solve for x
    x = 24,929,122,147.02/154,681.80
  6. Step 6: Final answer
    x = 161,163.90

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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.