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Finding the Fourth Proportional to 384,761.64, 577,088.25 and 132,037.70

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Solution

The fourth proportional to 384,761.64, 577,088.25 and 132,037.70 is: 198,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,761.64 : 577,088.25 = 132,037.70 : x
  2. Step 2: Convert to fraction form
    384,761.64/577,088.25 = 132,037.70/x
  3. Step 3: Cross multiply
    384,761.64x = 577,088.25 × 132,037.70
  4. Step 4: Simplify right side
    384,761.64x = 76,197,401,846.44
  5. Step 5: Solve for x
    x = 76,197,401,846.44/384,761.64
  6. Step 6: Final answer
    x = 198,037.94

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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.