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Finding the Fourth Proportional to 283,707.60, 425,532.60 and 96,716.40

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Solution

The fourth proportional to 283,707.60, 425,532.60 and 96,716.40 is: 145,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,707.60 : 425,532.60 = 96,716.40 : x
  2. Step 2: Convert to fraction form
    283,707.60/425,532.60 = 96,716.40/x
  3. Step 3: Cross multiply
    283,707.60x = 425,532.60 × 96,716.40
  4. Step 4: Simplify right side
    283,707.60x = 41,155,981,154.64
  5. Step 5: Solve for x
    x = 41,155,981,154.64/283,707.60
  6. Step 6: Final answer
    x = 145,064.78

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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.