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Finding the Fourth Proportional to 259,584.37, 358,225.72 and 144,861.82

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Solution

The fourth proportional to 259,584.37, 358,225.72 and 144,861.82 is: 199,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,584.37 : 358,225.72 = 144,861.82 : x
  2. Step 2: Convert to fraction form
    259,584.37/358,225.72 = 144,861.82/x
  3. Step 3: Cross multiply
    259,584.37x = 358,225.72 × 144,861.82
  4. Step 4: Simplify right side
    259,584.37x = 51,893,229,770.01
  5. Step 5: Solve for x
    x = 51,893,229,770.01/259,584.37
  6. Step 6: Final answer
    x = 199,908.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.