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Finding the Fourth Proportional to 197,165.83, 295,797.95 and 56,924.46

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Solution

The fourth proportional to 197,165.83, 295,797.95 and 56,924.46 is: 85,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,165.83 : 295,797.95 = 56,924.46 : x
  2. Step 2: Convert to fraction form
    197,165.83/295,797.95 = 56,924.46/x
  3. Step 3: Cross multiply
    197,165.83x = 295,797.95 × 56,924.46
  4. Step 4: Simplify right side
    197,165.83x = 16,838,138,572.86
  5. Step 5: Solve for x
    x = 16,838,138,572.86/197,165.83
  6. Step 6: Final answer
    x = 85,400.90

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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.