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Finding the Fourth Proportional to 135,481.42, 186,962.34 and 75,051.88

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Solution

The fourth proportional to 135,481.42, 186,962.34 and 75,051.88 is: 103,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,481.42 : 186,962.34 = 75,051.88 : x
  2. Step 2: Convert to fraction form
    135,481.42/186,962.34 = 75,051.88/x
  3. Step 3: Cross multiply
    135,481.42x = 186,962.34 × 75,051.88
  4. Step 4: Simplify right side
    135,481.42x = 14,031,875,106.20
  5. Step 5: Solve for x
    x = 14,031,875,106.20/135,481.42
  6. Step 6: Final answer
    x = 103,570.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.