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Finding the Fourth Proportional to 259,043.55, 357,455.67 and 144,310.50

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Solution

The fourth proportional to 259,043.55, 357,455.67 and 144,310.50 is: 199,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,043.55 : 357,455.67 = 144,310.50 : x
  2. Step 2: Convert to fraction form
    259,043.55/357,455.67 = 144,310.50/x
  3. Step 3: Cross multiply
    259,043.55x = 357,455.67 × 144,310.50
  4. Step 4: Simplify right side
    259,043.55x = 51,584,606,465.54
  5. Step 5: Solve for x
    x = 51,584,606,465.54/259,043.55
  6. Step 6: Final answer
    x = 199,134.88

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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.