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Finding the Fourth Proportional to 135,463.68, 186,941.43 and 75,035.52

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Solution

The fourth proportional to 135,463.68, 186,941.43 and 75,035.52 is: 103,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,463.68 : 186,941.43 = 75,035.52 : x
  2. Step 2: Convert to fraction form
    135,463.68/186,941.43 = 75,035.52/x
  3. Step 3: Cross multiply
    135,463.68x = 186,941.43 × 75,035.52
  4. Step 4: Simplify right side
    135,463.68x = 14,027,247,409.59
  5. Step 5: Solve for x
    x = 14,027,247,409.59/135,463.68
  6. Step 6: Final answer
    x = 103,549.88

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Why These Related Problems?

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