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Finding the Fourth Proportional to 165,096.98, 247,505.57 and 65,327.56

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Solution

The fourth proportional to 165,096.98, 247,505.57 and 65,327.56 is: 97,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,096.98 : 247,505.57 = 65,327.56 : x
  2. Step 2: Convert to fraction form
    165,096.98/247,505.57 = 65,327.56/x
  3. Step 3: Cross multiply
    165,096.98x = 247,505.57 × 65,327.56
  4. Step 4: Simplify right side
    165,096.98x = 16,168,934,974.51
  5. Step 5: Solve for x
    x = 16,168,934,974.51/165,096.98
  6. Step 6: Final answer
    x = 97,935.98

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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.