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Finding the Fourth Proportional to 223,754.40, 335,689.44 and 83,514.24

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Solution

The fourth proportional to 223,754.40, 335,689.44 and 83,514.24 is: 125,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,754.40 : 335,689.44 = 83,514.24 : x
  2. Step 2: Convert to fraction form
    223,754.40/335,689.44 = 83,514.24/x
  3. Step 3: Cross multiply
    223,754.40x = 335,689.44 × 83,514.24
  4. Step 4: Simplify right side
    223,754.40x = 28,034,848,457.63
  5. Step 5: Solve for x
    x = 28,034,848,457.63/223,754.40
  6. Step 6: Final answer
    x = 125,292.95

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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.