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Finding the Fourth Proportional to 264,088.89, 396,129.24 and 106,313.49

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Solution

The fourth proportional to 264,088.89, 396,129.24 and 106,313.49 is: 159,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,088.89 : 396,129.24 = 106,313.49 : x
  2. Step 2: Convert to fraction form
    264,088.89/396,129.24 = 106,313.49/x
  3. Step 3: Cross multiply
    264,088.89x = 396,129.24 × 106,313.49
  4. Step 4: Simplify right side
    264,088.89x = 42,113,881,995.45
  5. Step 5: Solve for x
    x = 42,113,881,995.45/264,088.89
  6. Step 6: Final answer
    x = 159,468.59

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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.