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Finding the Fourth Proportional to 144,754.88, 216,892.23 and 102,425.15

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Solution

The fourth proportional to 144,754.88, 216,892.23 and 102,425.15 is: 153,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,754.88 : 216,892.23 = 102,425.15 : x
  2. Step 2: Convert to fraction form
    144,754.88/216,892.23 = 102,425.15/x
  3. Step 3: Cross multiply
    144,754.88x = 216,892.23 × 102,425.15
  4. Step 4: Simplify right side
    144,754.88x = 22,215,218,107.12
  5. Step 5: Solve for x
    x = 22,215,218,107.12/144,754.88
  6. Step 6: Final answer
    x = 153,467.84

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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.