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Finding the Fourth Proportional to 192,854.93, 289,226.54 and 57,913.56

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Solution

The fourth proportional to 192,854.93, 289,226.54 and 57,913.56 is: 86,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,854.93 : 289,226.54 = 57,913.56 : x
  2. Step 2: Convert to fraction form
    192,854.93/289,226.54 = 57,913.56/x
  3. Step 3: Cross multiply
    192,854.93x = 289,226.54 × 57,913.56
  4. Step 4: Simplify right side
    192,854.93x = 16,750,138,722.67
  5. Step 5: Solve for x
    x = 16,750,138,722.67/192,854.93
  6. Step 6: Final answer
    x = 86,853.57

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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.