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Finding the Fourth Proportional to 377,193, 565,823.52 and 96,712.68

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Solution

The fourth proportional to 377,193, 565,823.52 and 96,712.68 is: 145,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,193 : 565,823.52 = 96,712.68 : x
  2. Step 2: Convert to fraction form
    377,193/565,823.52 = 96,712.68/x
  3. Step 3: Cross multiply
    377,193x = 565,823.52 × 96,712.68
  4. Step 4: Simplify right side
    377,193x = 54,722,309,026.23
  5. Step 5: Solve for x
    x = 54,722,309,026.23/377,193
  6. Step 6: Final answer
    x = 145,077.74

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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.