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Finding the Fourth Proportional to 101,967.38, 152,704.96 and 61,324.02

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Solution

The fourth proportional to 101,967.38, 152,704.96 and 61,324.02 is: 91,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.38 : 152,704.96 = 61,324.02 : x
  2. Step 2: Convert to fraction form
    101,967.38/152,704.96 = 61,324.02/x
  3. Step 3: Cross multiply
    101,967.38x = 152,704.96 × 61,324.02
  4. Step 4: Simplify right side
    101,967.38x = 9,364,482,021.14
  5. Step 5: Solve for x
    x = 9,364,482,021.14/101,967.38
  6. Step 6: Final answer
    x = 91,838.02

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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.