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Finding the Fourth Proportional to 197,103.38, 295,660.53 and 56,862

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Solution

The fourth proportional to 197,103.38, 295,660.53 and 56,862 is: 85,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,103.38 : 295,660.53 = 56,862 : x
  2. Step 2: Convert to fraction form
    197,103.38/295,660.53 = 56,862/x
  3. Step 3: Cross multiply
    197,103.38x = 295,660.53 × 56,862
  4. Step 4: Simplify right side
    197,103.38x = 16,811,849,056.86
  5. Step 5: Solve for x
    x = 16,811,849,056.86/197,103.38
  6. Step 6: Final answer
    x = 85,294.58

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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.