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Finding the Fourth Proportional to 264,807.90, 397,066.05 and 106,857.90

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Solution

The fourth proportional to 264,807.90, 397,066.05 and 106,857.90 is: 160,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,807.90 : 397,066.05 = 106,857.90 : x
  2. Step 2: Convert to fraction form
    264,807.90/397,066.05 = 106,857.90/x
  3. Step 3: Cross multiply
    264,807.90x = 397,066.05 × 106,857.90
  4. Step 4: Simplify right side
    264,807.90x = 42,429,644,264.30
  5. Step 5: Solve for x
    x = 42,429,644,264.30/264,807.90
  6. Step 6: Final answer
    x = 160,228.02

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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.