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Finding the Fourth Proportional to 154,316.96, 231,101.60 and 106,798.88

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Solution

The fourth proportional to 154,316.96, 231,101.60 and 106,798.88 is: 159,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,316.96 : 231,101.60 = 106,798.88 : x
  2. Step 2: Convert to fraction form
    154,316.96/231,101.60 = 106,798.88/x
  3. Step 3: Cross multiply
    154,316.96x = 231,101.60 × 106,798.88
  4. Step 4: Simplify right side
    154,316.96x = 24,681,392,046.21
  5. Step 5: Solve for x
    x = 24,681,392,046.21/154,316.96
  6. Step 6: Final answer
    x = 159,939.59

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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.