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Finding the Fourth Proportional to 264,907.20, 397,101.60 and 106,924.80

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Solution

The fourth proportional to 264,907.20, 397,101.60 and 106,924.80 is: 160,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,907.20 : 397,101.60 = 106,924.80 : x
  2. Step 2: Convert to fraction form
    264,907.20/397,101.60 = 106,924.80/x
  3. Step 3: Cross multiply
    264,907.20x = 397,101.60 × 106,924.80
  4. Step 4: Simplify right side
    264,907.20x = 42,460,009,159.68
  5. Step 5: Solve for x
    x = 42,460,009,159.68/264,907.20
  6. Step 6: Final answer
    x = 160,282.58

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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.