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Finding the Fourth Proportional to 384,894.05, 577,197.49 and 132,102.81

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Solution

The fourth proportional to 384,894.05, 577,197.49 and 132,102.81 is: 198,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,894.05 : 577,197.49 = 132,102.81 : x
  2. Step 2: Convert to fraction form
    384,894.05/577,197.49 = 132,102.81/x
  3. Step 3: Cross multiply
    384,894.05x = 577,197.49 × 132,102.81
  4. Step 4: Simplify right side
    384,894.05x = 76,249,410,353.95
  5. Step 5: Solve for x
    x = 76,249,410,353.95/384,894.05
  6. Step 6: Final answer
    x = 198,104.93

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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.