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Finding the Fourth Proportional to 193,197.56, 289,798.36 and 52,956.20

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Solution

The fourth proportional to 193,197.56, 289,798.36 and 52,956.20 is: 79,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,197.56 : 289,798.36 = 52,956.20 : x
  2. Step 2: Convert to fraction form
    193,197.56/289,798.36 = 52,956.20/x
  3. Step 3: Cross multiply
    193,197.56x = 289,798.36 × 52,956.20
  4. Step 4: Simplify right side
    193,197.56x = 15,346,619,911.83
  5. Step 5: Solve for x
    x = 15,346,619,911.83/193,197.56
  6. Step 6: Final answer
    x = 79,434.85

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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.