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Finding the Fourth Proportional to 283,414.60, 425,109.60 and 105,923.14

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Solution

The fourth proportional to 283,414.60, 425,109.60 and 105,923.14 is: 158,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,414.60 : 425,109.60 = 105,923.14 : x
  2. Step 2: Convert to fraction form
    283,414.60/425,109.60 = 105,923.14/x
  3. Step 3: Cross multiply
    283,414.60x = 425,109.60 × 105,923.14
  4. Step 4: Simplify right side
    283,414.60x = 45,028,943,676.14
  5. Step 5: Solve for x
    x = 45,028,943,676.14/283,414.60
  6. Step 6: Final answer
    x = 158,880.11

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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.