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Finding the Fourth Proportional to 264,010.32, 395,923.32 and 106,197.84

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Solution

The fourth proportional to 264,010.32, 395,923.32 and 106,197.84 is: 159,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,010.32 : 395,923.32 = 106,197.84 : x
  2. Step 2: Convert to fraction form
    264,010.32/395,923.32 = 106,197.84/x
  3. Step 3: Cross multiply
    264,010.32x = 395,923.32 × 106,197.84
  4. Step 4: Simplify right side
    264,010.32x = 42,046,201,389.63
  5. Step 5: Solve for x
    x = 42,046,201,389.63/264,010.32
  6. Step 6: Final answer
    x = 159,259.69

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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.