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Finding the Fourth Proportional to 107,740.80, 161,611.20 and 42,076.80

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Solution

The fourth proportional to 107,740.80, 161,611.20 and 42,076.80 is: 63,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,740.80 : 161,611.20 = 42,076.80 : x
  2. Step 2: Convert to fraction form
    107,740.80/161,611.20 = 42,076.80/x
  3. Step 3: Cross multiply
    107,740.80x = 161,611.20 × 42,076.80
  4. Step 4: Simplify right side
    107,740.80x = 6,800,082,140.16
  5. Step 5: Solve for x
    x = 6,800,082,140.16/107,740.80
  6. Step 6: Final answer
    x = 63,115.20

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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.