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Finding the Fourth Proportional to 134,052.12, 201,078 and 34,212.30

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Solution

The fourth proportional to 134,052.12, 201,078 and 34,212.30 is: 51,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,052.12 : 201,078 = 34,212.30 : x
  2. Step 2: Convert to fraction form
    134,052.12/201,078 = 34,212.30/x
  3. Step 3: Cross multiply
    134,052.12x = 201,078 × 34,212.30
  4. Step 4: Simplify right side
    134,052.12x = 6,879,340,859.40
  5. Step 5: Solve for x
    x = 6,879,340,859.40/134,052.12
  6. Step 6: Final answer
    x = 51,318.40

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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.