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Finding the Fourth Proportional to 283,810.86, 425,717.97 and 84,132.93

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Solution

The fourth proportional to 283,810.86, 425,717.97 and 84,132.93 is: 126,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,810.86 : 425,717.97 = 84,132.93 : x
  2. Step 2: Convert to fraction form
    283,810.86/425,717.97 = 84,132.93/x
  3. Step 3: Cross multiply
    283,810.86x = 425,717.97 × 84,132.93
  4. Step 4: Simplify right side
    283,810.86x = 35,816,900,169.75
  5. Step 5: Solve for x
    x = 35,816,900,169.75/283,810.86
  6. Step 6: Final answer
    x = 126,199.89

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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.