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Finding the Fourth Proportional to 283,739.76, 425,706.84 and 96,882.48

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Solution

The fourth proportional to 283,739.76, 425,706.84 and 96,882.48 is: 145,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,739.76 : 425,706.84 = 96,882.48 : x
  2. Step 2: Convert to fraction form
    283,739.76/425,706.84 = 96,882.48/x
  3. Step 3: Cross multiply
    283,739.76x = 425,706.84 × 96,882.48
  4. Step 4: Simplify right side
    283,739.76x = 41,243,534,412.16
  5. Step 5: Solve for x
    x = 41,243,534,412.16/283,739.76
  6. Step 6: Final answer
    x = 145,356.91

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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.