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Finding the Fourth Proportional to 140,692.44, 211,015.86 and 51,987.72

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Solution

The fourth proportional to 140,692.44, 211,015.86 and 51,987.72 is: 77,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,692.44 : 211,015.86 = 51,987.72 : x
  2. Step 2: Convert to fraction form
    140,692.44/211,015.86 = 51,987.72/x
  3. Step 3: Cross multiply
    140,692.44x = 211,015.86 × 51,987.72
  4. Step 4: Simplify right side
    140,692.44x = 10,970,233,445.24
  5. Step 5: Solve for x
    x = 10,970,233,445.24/140,692.44
  6. Step 6: Final answer
    x = 77,973.16

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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.