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Finding the Fourth Proportional to 259,289.68, 357,817.64 and 144,566.96

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Solution

The fourth proportional to 259,289.68, 357,817.64 and 144,566.96 is: 199,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,289.68 : 357,817.64 = 144,566.96 : x
  2. Step 2: Convert to fraction form
    259,289.68/357,817.64 = 144,566.96/x
  3. Step 3: Cross multiply
    259,289.68x = 357,817.64 × 144,566.96
  4. Step 4: Simplify right side
    259,289.68x = 51,728,608,449.17
  5. Step 5: Solve for x
    x = 51,728,608,449.17/259,289.68
  6. Step 6: Final answer
    x = 199,501.22

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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.