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Finding the Fourth Proportional to 192,898.66, 289,345.02 and 52,656.88

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Solution

The fourth proportional to 192,898.66, 289,345.02 and 52,656.88 is: 78,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,898.66 : 289,345.02 = 52,656.88 : x
  2. Step 2: Convert to fraction form
    192,898.66/289,345.02 = 52,656.88/x
  3. Step 3: Cross multiply
    192,898.66x = 289,345.02 × 52,656.88
  4. Step 4: Simplify right side
    192,898.66x = 15,236,005,996.74
  5. Step 5: Solve for x
    x = 15,236,005,996.74/192,898.66
  6. Step 6: Final answer
    x = 78,984.51

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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.