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Finding the Fourth Proportional to 134,411.94, 201,576.84 and 45,645.72

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Solution

The fourth proportional to 134,411.94, 201,576.84 and 45,645.72 is: 68,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,411.94 : 201,576.84 = 45,645.72 : x
  2. Step 2: Convert to fraction form
    134,411.94/201,576.84 = 45,645.72/x
  3. Step 3: Cross multiply
    134,411.94x = 201,576.84 × 45,645.72
  4. Step 4: Simplify right side
    134,411.94x = 9,201,119,997.12
  5. Step 5: Solve for x
    x = 9,201,119,997.12/134,411.94
  6. Step 6: Final answer
    x = 68,454.63

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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.