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Finding the Fourth Proportional to 193,111.65, 289,701.05 and 65,015.78

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Solution

The fourth proportional to 193,111.65, 289,701.05 and 65,015.78 is: 97,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,111.65 : 289,701.05 = 65,015.78 : x
  2. Step 2: Convert to fraction form
    193,111.65/289,701.05 = 65,015.78/x
  3. Step 3: Cross multiply
    193,111.65x = 289,701.05 × 65,015.78
  4. Step 4: Simplify right side
    193,111.65x = 18,835,137,958.98
  5. Step 5: Solve for x
    x = 18,835,137,958.98/193,111.65
  6. Step 6: Final answer
    x = 97,534.96

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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.