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Finding the Fourth Proportional to 259,287.68, 357,814.88 and 144,564.96

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Solution

The fourth proportional to 259,287.68, 357,814.88 and 144,564.96 is: 199,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,287.68 : 357,814.88 = 144,564.96 : x
  2. Step 2: Convert to fraction form
    259,287.68/357,814.88 = 144,564.96/x
  3. Step 3: Cross multiply
    259,287.68x = 357,814.88 × 144,564.96
  4. Step 4: Simplify right side
    259,287.68x = 51,727,493,814.60
  5. Step 5: Solve for x
    x = 51,727,493,814.60/259,287.68
  6. Step 6: Final answer
    x = 199,498.46

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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.