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Finding the Fourth Proportional to 134,002.68, 201,033.18 and 40,506

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Solution

The fourth proportional to 134,002.68, 201,033.18 and 40,506 is: 60,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,002.68 : 201,033.18 = 40,506 : x
  2. Step 2: Convert to fraction form
    134,002.68/201,033.18 = 40,506/x
  3. Step 3: Cross multiply
    134,002.68x = 201,033.18 × 40,506
  4. Step 4: Simplify right side
    134,002.68x = 8,143,049,989.08
  5. Step 5: Solve for x
    x = 8,143,049,989.08/134,002.68
  6. Step 6: Final answer
    x = 60,767.81

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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.