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Finding the Fourth Proportional to 190,540.67, 285,921.69 and 85,359.64

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Solution

The fourth proportional to 190,540.67, 285,921.69 and 85,359.64 is: 128,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,540.67 : 285,921.69 = 85,359.64 : x
  2. Step 2: Convert to fraction form
    190,540.67/285,921.69 = 85,359.64/x
  3. Step 3: Cross multiply
    190,540.67x = 285,921.69 × 85,359.64
  4. Step 4: Simplify right side
    190,540.67x = 24,406,170,955.59
  5. Step 5: Solve for x
    x = 24,406,170,955.59/190,540.67
  6. Step 6: Final answer
    x = 128,089.04

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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.