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Finding the Fourth Proportional to 264,066.15, 396,215.87 and 106,602.15

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Solution

The fourth proportional to 264,066.15, 396,215.87 and 106,602.15 is: 159,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,066.15 : 396,215.87 = 106,602.15 : x
  2. Step 2: Convert to fraction form
    264,066.15/396,215.87 = 106,602.15/x
  3. Step 3: Cross multiply
    264,066.15x = 396,215.87 × 106,602.15
  4. Step 4: Simplify right side
    264,066.15x = 42,237,463,073.11
  5. Step 5: Solve for x
    x = 42,237,463,073.11/264,066.15
  6. Step 6: Final answer
    x = 159,950.31

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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.