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Finding the Fourth Proportional to 354,735.26, 532,088 and 165,130.46

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Solution

The fourth proportional to 354,735.26, 532,088 and 165,130.46 is: 247,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,735.26 : 532,088 = 165,130.46 : x
  2. Step 2: Convert to fraction form
    354,735.26/532,088 = 165,130.46/x
  3. Step 3: Cross multiply
    354,735.26x = 532,088 × 165,130.46
  4. Step 4: Simplify right side
    354,735.26x = 87,863,936,200.48
  5. Step 5: Solve for x
    x = 87,863,936,200.48/354,735.26
  6. Step 6: Final answer
    x = 247,688.76

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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.