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Finding the Fourth Proportional to 264,071.90, 396,224.49 and 106,607.90

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Solution

The fourth proportional to 264,071.90, 396,224.49 and 106,607.90 is: 159,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,071.90 : 396,224.49 = 106,607.90 : x
  2. Step 2: Convert to fraction form
    264,071.90/396,224.49 = 106,607.90/x
  3. Step 3: Cross multiply
    264,071.90x = 396,224.49 × 106,607.90
  4. Step 4: Simplify right side
    264,071.90x = 42,240,660,807.47
  5. Step 5: Solve for x
    x = 42,240,660,807.47/264,071.90
  6. Step 6: Final answer
    x = 159,958.94

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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.