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Finding the Fourth Proportional to 384,880.92, 577,173.70 and 132,114.28

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Solution

The fourth proportional to 384,880.92, 577,173.70 and 132,114.28 is: 198,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,880.92 : 577,173.70 = 132,114.28 : x
  2. Step 2: Convert to fraction form
    384,880.92/577,173.70 = 132,114.28/x
  3. Step 3: Cross multiply
    384,880.92x = 577,173.70 × 132,114.28
  4. Step 4: Simplify right side
    384,880.92x = 76,252,887,810.44
  5. Step 5: Solve for x
    x = 76,252,887,810.44/384,880.92
  6. Step 6: Final answer
    x = 198,120.73

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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.