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Finding the Fourth Proportional to 253,832.12, 380,718.48 and 102,023.12

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Solution

The fourth proportional to 253,832.12, 380,718.48 and 102,023.12 is: 153,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,832.12 : 380,718.48 = 102,023.12 : x
  2. Step 2: Convert to fraction form
    253,832.12/380,718.48 = 102,023.12/x
  3. Step 3: Cross multiply
    253,832.12x = 380,718.48 × 102,023.12
  4. Step 4: Simplify right side
    253,832.12x = 38,842,087,171.26
  5. Step 5: Solve for x
    x = 38,842,087,171.26/253,832.12
  6. Step 6: Final answer
    x = 153,022.74

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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.