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Finding the Fourth Proportional to 140,584.64, 210,877.23 and 35,402.90

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Solution

The fourth proportional to 140,584.64, 210,877.23 and 35,402.90 is: 53,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,584.64 : 210,877.23 = 35,402.90 : x
  2. Step 2: Convert to fraction form
    140,584.64/210,877.23 = 35,402.90/x
  3. Step 3: Cross multiply
    140,584.64x = 210,877.23 × 35,402.90
  4. Step 4: Simplify right side
    140,584.64x = 7,465,665,485.97
  5. Step 5: Solve for x
    x = 7,465,665,485.97/140,584.64
  6. Step 6: Final answer
    x = 53,104.42

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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.