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Finding the Fourth Proportional to 193,191.96, 289,756.84 and 52,917.80

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Solution

The fourth proportional to 193,191.96, 289,756.84 and 52,917.80 is: 79,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,191.96 : 289,756.84 = 52,917.80 : x
  2. Step 2: Convert to fraction form
    193,191.96/289,756.84 = 52,917.80/x
  3. Step 3: Cross multiply
    193,191.96x = 289,756.84 × 52,917.80
  4. Step 4: Simplify right side
    193,191.96x = 15,333,294,507.75
  5. Step 5: Solve for x
    x = 15,333,294,507.75/193,191.96
  6. Step 6: Final answer
    x = 79,368.18

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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.