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Finding the Fourth Proportional to 283,907.65, 425,801.32 and 106,427.74

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Solution

The fourth proportional to 283,907.65, 425,801.32 and 106,427.74 is: 159,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,907.65 : 425,801.32 = 106,427.74 : x
  2. Step 2: Convert to fraction form
    283,907.65/425,801.32 = 106,427.74/x
  3. Step 3: Cross multiply
    283,907.65x = 425,801.32 × 106,427.74
  4. Step 4: Simplify right side
    283,907.65x = 45,317,072,176.62
  5. Step 5: Solve for x
    x = 45,317,072,176.62/283,907.65
  6. Step 6: Final answer
    x = 159,619.06

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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.