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Finding the Fourth Proportional to 102,165.83, 153,262.13 and 33,754.65

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Solution

The fourth proportional to 102,165.83, 153,262.13 and 33,754.65 is: 50,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.83 : 153,262.13 = 33,754.65 : x
  2. Step 2: Convert to fraction form
    102,165.83/153,262.13 = 33,754.65/x
  3. Step 3: Cross multiply
    102,165.83x = 153,262.13 × 33,754.65
  4. Step 4: Simplify right side
    102,165.83x = 5,173,309,928.16
  5. Step 5: Solve for x
    x = 5,173,309,928.16/102,165.83
  6. Step 6: Final answer
    x = 50,636.40

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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.