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Finding the Fourth Proportional to 135,041.96, 202,048.98 and 81,537

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Solution

The fourth proportional to 135,041.96, 202,048.98 and 81,537 is: 121,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,041.96 : 202,048.98 = 81,537 : x
  2. Step 2: Convert to fraction form
    135,041.96/202,048.98 = 81,537/x
  3. Step 3: Cross multiply
    135,041.96x = 202,048.98 × 81,537
  4. Step 4: Simplify right side
    135,041.96x = 16,474,467,682.26
  5. Step 5: Solve for x
    x = 16,474,467,682.26/135,041.96
  6. Step 6: Final answer
    x = 121,995.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.