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Finding the Fourth Proportional to 283,410.60, 425,103.59 and 105,919.14

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Solution

The fourth proportional to 283,410.60, 425,103.59 and 105,919.14 is: 158,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,410.60 : 425,103.59 = 105,919.14 : x
  2. Step 2: Convert to fraction form
    283,410.60/425,103.59 = 105,919.14/x
  3. Step 3: Cross multiply
    283,410.60x = 425,103.59 × 105,919.14
  4. Step 4: Simplify right side
    283,410.60x = 45,026,608,522.65
  5. Step 5: Solve for x
    x = 45,026,608,522.65/283,410.60
  6. Step 6: Final answer
    x = 158,874.12

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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.