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Finding the Fourth Proportional to 140,032.98, 209,987.64 and 40,170.51

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Solution

The fourth proportional to 140,032.98, 209,987.64 and 40,170.51 is: 60,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,032.98 : 209,987.64 = 40,170.51 : x
  2. Step 2: Convert to fraction form
    140,032.98/209,987.64 = 40,170.51/x
  3. Step 3: Cross multiply
    140,032.98x = 209,987.64 × 40,170.51
  4. Step 4: Simplify right side
    140,032.98x = 8,435,310,592.50
  5. Step 5: Solve for x
    x = 8,435,310,592.50/140,032.98
  6. Step 6: Final answer
    x = 60,238.03

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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.